4. Trees and ensembles

Big data in Economics

Juan D. Montoro-Pons | 2024/25

Basics of decision trees

 

  • Tree-based methods involve stratifying/segmenting the predictor space into a number of simple regions.

  • Can be used for regression and classification

  • The set of splitting rules used to segment the predictor space are summarized in a tree hence the name decision tree methods.

  • A prediction for a given observation is made using the mean or the mode response value for the training observations in the region to which it belongs.

Regression trees

Decision trees: example

Code
from sklearn.model_selection import train_test_split
from sklearn.tree import DecisionTreeRegressor, plot_tree, export_text
import pandas as pd

url = "https://juandmontoro.github.io/bigDataEco/data/housing.csv"
data = pd.read_csv(url)

data = pd.get_dummies(data,dtype=int)
X = data.drop(columns=['median_house_value'])
y = data['median_house_value'] 
X_train,X_test,y_train,y_test = train_test_split(X,y,test_size=0.2,random_state=42)

regtree = DecisionTreeRegressor(max_depth=2,random_state=42)
regtree.fit(X_train,y_train);

plot_tree(regtree,feature_names=X_train.columns,filled=True,fontsize=9);

Code
tree_rules = export_text(regtree,feature_names=X.columns.tolist())
print(tree_rules)
|--- ocean_proximity_INLAND <= 0.50
|   |--- median_income <= 5.02
|   |   |--- value: [207458.44]
|   |--- median_income >  5.02
|   |   |--- value: [317483.96]
|--- ocean_proximity_INLAND >  0.50
|   |--- median_income <= 3.55
|   |   |--- value: [97747.51]
|   |--- median_income >  3.55
|   |   |--- value: [164401.12]

Building a regression tree

 

Step 1: stratification of the feature space.

Divide the predictor space into \(J\) distinct, non-overlapping regions \(R_1, R_2, \ldots, R_J\).The goal is to find a partition of the features space that minimizes the Residual Sum of Squares (RSS). \[\sum_j\sum_{i\in R_j}(y_i-\hat{y}_{R_j})^2 \]

  • Recursive binary splitting is used: top-down and greedy (i.e. short-sighted) approach that at any point selects the predictor \(X_j\) and cutpoint \(s\) that results in the greatest reduction in RSS.
  • The process continues until a stopping criterion is reached (e.g., no region contains more than \(n\) observations or a certain tree-depth is reached)

Step 2: generate predictions.

For each region \(R_j\), predict using the mean response of the training observations in that region.

Overfitting

 

Code
regtree = DecisionTreeRegressor(random_state=42)
regtree.fit(X_train,y_train);
tree_rules = export_text(regtree,feature_names=X.columns.tolist())
print(tree_rules)
|--- ocean_proximity_INLAND <= 0.50
|   |--- median_income <= 5.02
|   |   |--- median_income <= 3.11
|   |   |   |--- median_income <= 2.51
|   |   |   |   |--- total_bedrooms <= 714.50
|   |   |   |   |   |--- longitude <= -123.04
|   |   |   |   |   |   |--- latitude <= 40.14
|   |   |   |   |   |   |   |--- housing_median_age <= 12.50
|   |   |   |   |   |   |   |   |--- value: [150000.00]
|   |   |   |   |   |   |   |--- housing_median_age >  12.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 2983.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 36.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  36.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 40.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [70000.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  40.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [69800.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  2983.00
|   |   |   |   |   |   |   |   |   |--- value: [149300.00]
|   |   |   |   |   |   |--- latitude >  40.14
|   |   |   |   |   |   |   |--- total_rooms <= 627.50
|   |   |   |   |   |   |   |   |--- value: [153100.00]
|   |   |   |   |   |   |   |--- total_rooms >  627.50
|   |   |   |   |   |   |   |   |--- longitude <= -123.94
|   |   |   |   |   |   |   |   |   |--- median_income <= 1.13
|   |   |   |   |   |   |   |   |   |   |--- value: [150000.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  1.13
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 1.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- median_income >  1.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |--- longitude >  -123.94
|   |   |   |   |   |   |   |   |   |--- households <= 388.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 210.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [36700.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  210.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- households >  388.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2597.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2597.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |--- longitude >  -123.04
|   |   |   |   |   |   |--- latitude <= 34.03
|   |   |   |   |   |   |   |--- longitude <= -118.38
|   |   |   |   |   |   |   |   |--- longitude <= -118.49
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.99
|   |   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.99
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.49
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 977.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.43
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.43
|   |   |   |   |   |   |   |   |   |   |   |--- value: [184400.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  977.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 30.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  30.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- longitude >  -118.38
|   |   |   |   |   |   |   |   |--- median_income <= 2.11
|   |   |   |   |   |   |   |   |   |--- median_income <= 0.52
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 316.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [90600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  316.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  0.52
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 20
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 29
|   |   |   |   |   |   |   |   |--- median_income >  2.11
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.88
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.15
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.15
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |--- latitude >  33.88
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |--- latitude >  34.03
|   |   |   |   |   |   |   |--- latitude <= 37.73
|   |   |   |   |   |   |   |   |--- population <= 298.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 19.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 240.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  240.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  19.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 23.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  23.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |--- population >  298.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.24
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.63
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.63
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.24
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.15
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.15
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |--- latitude >  37.73
|   |   |   |   |   |   |   |   |--- longitude <= -122.38
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.89
|   |   |   |   |   |   |   |   |   |   |--- population <= 784.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- population >  784.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- latitude >  37.89
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1023.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1023.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- longitude >  -122.38
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 80.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 232.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  232.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  80.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 145.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [325000.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  145.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 20
|   |   |   |   |--- total_bedrooms >  714.50
|   |   |   |   |   |--- latitude <= 34.01
|   |   |   |   |   |   |--- longitude <= -117.22
|   |   |   |   |   |   |   |--- latitude <= 33.20
|   |   |   |   |   |   |   |   |--- longitude <= -117.38
|   |   |   |   |   |   |   |   |   |--- value: [500000.00]
|   |   |   |   |   |   |   |   |--- longitude >  -117.38
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.31
|   |   |   |   |   |   |   |   |   |   |--- value: [173800.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.31
|   |   |   |   |   |   |   |   |   |   |--- value: [208300.00]
|   |   |   |   |   |   |   |--- latitude >  33.20
|   |   |   |   |   |   |   |   |--- housing_median_age <= 13.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 1.84
|   |   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  1.84
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 988.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [247000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  988.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- housing_median_age >  13.50
|   |   |   |   |   |   |   |   |   |--- households <= 704.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 695.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- households >  695.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- households >  704.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |--- longitude >  -117.22
|   |   |   |   |   |   |   |--- total_rooms <= 2520.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 813.00
|   |   |   |   |   |   |   |   |   |--- value: [103400.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  813.00
|   |   |   |   |   |   |   |   |   |--- value: [325000.00]
|   |   |   |   |   |   |   |--- total_rooms >  2520.50
|   |   |   |   |   |   |   |   |--- latitude <= 32.89
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.13
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3710.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3710.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.13
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- latitude >  32.89
|   |   |   |   |   |   |   |   |   |--- population <= 2724.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- population >  2724.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.28
|   |   |   |   |   |   |   |   |   |   |   |--- value: [136300.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.28
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |--- latitude >  34.01
|   |   |   |   |   |   |--- median_income <= 0.92
|   |   |   |   |   |   |   |--- latitude <= 34.67
|   |   |   |   |   |   |   |   |--- latitude <= 34.04
|   |   |   |   |   |   |   |   |   |--- value: [150000.00]
|   |   |   |   |   |   |   |   |--- latitude >  34.04
|   |   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |--- latitude >  34.67
|   |   |   |   |   |   |   |   |--- housing_median_age <= 28.50
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  28.50
|   |   |   |   |   |   |   |   |   |--- value: [450000.00]
|   |   |   |   |   |   |--- median_income >  0.92
|   |   |   |   |   |   |   |--- latitude <= 37.90
|   |   |   |   |   |   |   |   |--- longitude <= -118.30
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.13
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.40
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.40
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 17
|   |   |   |   |   |   |   |   |   |--- latitude >  34.13
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.42
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.42
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- longitude >  -118.30
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 45.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1420.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [325000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1420.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  45.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 47.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  47.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- latitude >  37.90
|   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.10
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 36.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  36.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [37900.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  2.10
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.26
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.26
|   |   |   |   |   |   |   |   |   |   |   |--- value: [92800.00]
|   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 38.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 698.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [233500.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  698.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- latitude >  38.50
|   |   |   |   |   |   |   |   |   |   |--- value: [98700.00]
|   |   |   |--- median_income >  2.51
|   |   |   |   |--- longitude <= -118.31
|   |   |   |   |   |--- latitude <= 37.91
|   |   |   |   |   |   |--- longitude <= -122.34
|   |   |   |   |   |   |   |--- latitude <= 37.75
|   |   |   |   |   |   |   |   |--- longitude <= -122.38
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 20.00
|   |   |   |   |   |   |   |   |   |   |--- value: [87500.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  20.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |--- longitude >  -122.38
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 28.50
|   |   |   |   |   |   |   |   |   |   |--- value: [375000.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  28.50
|   |   |   |   |   |   |   |   |   |   |--- value: [457700.00]
|   |   |   |   |   |   |   |--- latitude >  37.75
|   |   |   |   |   |   |   |   |--- longitude <= -122.42
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.50
|   |   |   |   |   |   |   |   |   |   |--- value: [140400.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- longitude >  -122.42
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.66
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.59
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.59
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- median_income >  2.66
|   |   |   |   |   |   |   |   |   |   |--- households <= 476.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- households >  476.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |--- longitude >  -122.34
|   |   |   |   |   |   |   |--- latitude <= 34.62
|   |   |   |   |   |   |   |   |--- population <= 1738.50
|   |   |   |   |   |   |   |   |   |--- households <= 585.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.47
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.47
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- households >  585.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 896.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  896.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- population >  1738.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 868.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2029.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- population >  2029.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  868.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2032.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  2032.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |--- latitude >  34.62
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 36.92
|   |   |   |   |   |   |   |   |   |   |--- population <= 1849.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- population >  1849.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- latitude >  36.92
|   |   |   |   |   |   |   |   |   |   |--- households <= 159.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- households >  159.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 17
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 121.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  121.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.61
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.61
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |--- latitude >  37.91
|   |   |   |   |   |   |--- latitude <= 38.93
|   |   |   |   |   |   |   |--- longitude <= -122.42
|   |   |   |   |   |   |   |   |--- latitude <= 38.15
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.98
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 573.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [231300.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  573.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [287500.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  37.98
|   |   |   |   |   |   |   |   |   |   |--- households <= 1088.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [350800.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  1088.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [324200.00]
|   |   |   |   |   |   |   |   |--- latitude >  38.15
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.67
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.59
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.59
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.67
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.52
|   |   |   |   |   |   |   |   |   |   |   |--- value: [145500.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.52
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |--- longitude >  -122.42
|   |   |   |   |   |   |   |   |--- longitude <= -122.33
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1603.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.93
|   |   |   |   |   |   |   |   |   |   |   |--- value: [121600.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.93
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1603.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1078.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  1078.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- longitude >  -122.33
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.94
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- latitude >  37.94
|   |   |   |   |   |   |   |   |   |   |--- households <= 118.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  118.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |--- latitude >  38.93
|   |   |   |   |   |   |   |--- longitude <= -124.09
|   |   |   |   |   |   |   |   |--- median_income <= 3.03
|   |   |   |   |   |   |   |   |   |--- longitude <= -124.15
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.69
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.69
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- longitude >  -124.15
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2527.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2527.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- median_income >  3.03
|   |   |   |   |   |   |   |   |   |--- median_income <= 3.04
|   |   |   |   |   |   |   |   |   |   |--- value: [103600.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  3.04
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1823.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [107000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1823.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [106700.00]
|   |   |   |   |   |   |   |--- longitude >  -124.09
|   |   |   |   |   |   |   |   |--- housing_median_age <= 31.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 39.02
|   |   |   |   |   |   |   |   |   |   |--- value: [95800.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  39.02
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -124.06
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -124.06
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- housing_median_age >  31.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -123.91
|   |   |   |   |   |   |   |   |   |   |--- households <= 247.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [71300.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  247.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [84200.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -123.91
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1733.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1733.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [76900.00]
|   |   |   |   |--- longitude >  -118.31
|   |   |   |   |   |--- longitude <= -117.15
|   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |--- latitude <= 34.07
|   |   |   |   |   |   |   |   |--- longitude <= -118.16
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.89
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.28
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.28
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- latitude >  33.89
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |--- longitude >  -118.16
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.62
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- latitude >  33.62
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 17
|   |   |   |   |   |   |   |--- latitude >  34.07
|   |   |   |   |   |   |   |   |--- longitude <= -118.24
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.75
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- median_income >  2.75
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.22
|   |   |   |   |   |   |   |   |   |   |   |--- value: [161500.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.24
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.06
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.16
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.16
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.06
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |   |   |--- housing_median_age <= 10.00
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.78
|   |   |   |   |   |   |   |   |   |   |--- value: [204200.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  2.78
|   |   |   |   |   |   |   |   |   |   |--- value: [216100.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  10.00
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2390.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [67500.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2390.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.18
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.18
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |   |   |--- housing_median_age <= 35.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 142.00
|   |   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  142.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- housing_median_age >  35.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.17
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.17
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.17
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.17
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |--- longitude >  -117.15
|   |   |   |   |   |   |--- latitude <= 33.31
|   |   |   |   |   |   |   |--- housing_median_age <= 44.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 532.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 15.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 270.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [122500.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  270.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  15.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |--- total_bedrooms >  532.00
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2639.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.57
|   |   |   |   |   |   |   |   |   |   |   |--- value: [257700.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.57
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2639.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3301.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3301.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |--- housing_median_age >  44.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 330.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.65
|   |   |   |   |   |   |   |   |   |   |--- value: [190300.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  2.65
|   |   |   |   |   |   |   |   |   |   |--- value: [199100.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  330.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2415.50
|   |   |   |   |   |   |   |   |   |   |--- value: [168800.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2415.50
|   |   |   |   |   |   |   |   |   |   |--- value: [170100.00]
|   |   |   |   |   |   |--- latitude >  33.31
|   |   |   |   |   |   |   |--- value: [43000.00]
|   |   |--- median_income >  3.11
|   |   |   |--- longitude <= -118.27
|   |   |   |   |--- latitude <= 37.93
|   |   |   |   |   |--- longitude <= -122.33
|   |   |   |   |   |   |--- latitude <= 37.76
|   |   |   |   |   |   |   |--- latitude <= 37.59
|   |   |   |   |   |   |   |   |--- median_income <= 3.49
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 29.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.41
|   |   |   |   |   |   |   |   |   |   |   |--- value: [285400.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  29.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1715.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  1715.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- median_income >  3.49
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.40
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1270.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1270.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.40
|   |   |   |   |   |   |   |   |   |   |--- population <= 1024.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  1024.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- latitude >  37.59
|   |   |   |   |   |   |   |   |--- latitude <= 37.74
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 3726.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 859.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 20
|   |   |   |   |   |   |   |   |   |   |--- households >  859.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_rooms >  3726.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- latitude >  37.74
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.42
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.48
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.48
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.42
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- latitude >  37.76
|   |   |   |   |   |   |   |--- longitude <= -122.41
|   |   |   |   |   |   |   |   |--- longitude <= -122.48
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1964.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1964.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1048.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  1048.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- longitude >  -122.48
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.78
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.44
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.44
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- latitude >  37.78
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.42
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.42
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |--- longitude >  -122.41
|   |   |   |   |   |   |   |   |--- population <= 1483.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 47.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 815.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- households >  815.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  47.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.78
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- population >  1483.00
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |--- longitude >  -122.33
|   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |--- longitude <= -118.37
|   |   |   |   |   |   |   |   |--- longitude <= -118.79
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.14
|   |   |   |   |   |   |   |   |   |   |--- households <= 450.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- households >  450.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [305800.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  34.14
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 19.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [233200.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  19.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- longitude >  -118.79
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1657.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1657.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2334.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |   |--- population >  2334.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- longitude >  -118.37
|   |   |   |   |   |   |   |   |--- latitude <= 34.06
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.89
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.31
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- latitude >  33.89
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- latitude >  34.06
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.37
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.37
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.87
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.87
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |--- median_income <= 4.19
|   |   |   |   |   |   |   |   |   |--- population <= 132.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 26.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [434700.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  26.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- population >  132.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 643.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 18
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  643.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |--- median_income >  4.19
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.88
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.49
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.49
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.88
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 612.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  612.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 18
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |--- latitude <= 37.30
|   |   |   |   |   |   |   |   |   |--- longitude <= -119.23
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 19
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |--- longitude >  -119.23
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 9.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [52500.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  9.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |--- latitude >  37.30
|   |   |   |   |   |   |   |   |   |--- median_income <= 3.31
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.56
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.56
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- median_income >  3.31
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.22
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |--- latitude >  37.93
|   |   |   |   |   |--- latitude <= 38.78
|   |   |   |   |   |   |--- longitude <= -122.38
|   |   |   |   |   |   |   |--- latitude <= 38.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 30.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 3.96
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.55
|   |   |   |   |   |   |   |   |   |   |   |--- value: [301100.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- median_income >  3.96
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [246600.00]
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- housing_median_age >  30.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 33.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  33.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 720.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- households >  720.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |--- latitude >  38.00
|   |   |   |   |   |   |   |   |--- median_income <= 3.83
|   |   |   |   |   |   |   |   |   |--- latitude <= 38.32
|   |   |   |   |   |   |   |   |   |   |--- population <= 511.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [67500.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  511.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- latitude >  38.32
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -123.37
|   |   |   |   |   |   |   |   |   |   |   |--- value: [295400.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -123.37
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- median_income >  3.83
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 248.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 186.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- households >  186.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  248.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.13
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.13
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |--- longitude >  -122.38
|   |   |   |   |   |   |   |--- median_income <= 4.34
|   |   |   |   |   |   |   |   |--- latitude <= 38.34
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 785.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1783.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |   |--- population >  1783.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  785.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- latitude >  38.34
|   |   |   |   |   |   |   |   |   |--- value: [304000.00]
|   |   |   |   |   |   |   |--- median_income >  4.34
|   |   |   |   |   |   |   |   |--- population <= 564.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.06
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.68
|   |   |   |   |   |   |   |   |   |   |   |--- value: [269300.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.68
|   |   |   |   |   |   |   |   |   |   |   |--- value: [235600.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.06
|   |   |   |   |   |   |   |   |   |   |--- value: [197100.00]
|   |   |   |   |   |   |   |   |--- population >  564.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 23.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  23.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |--- latitude >  38.78
|   |   |   |   |   |   |--- latitude <= 39.40
|   |   |   |   |   |   |   |--- longitude <= -123.54
|   |   |   |   |   |   |   |   |--- total_rooms <= 1514.50
|   |   |   |   |   |   |   |   |   |--- value: [151400.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  1514.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 17.50
|   |   |   |   |   |   |   |   |   |   |--- value: [277000.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  17.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.32
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.32
|   |   |   |   |   |   |   |   |   |   |   |--- value: [213200.00]
|   |   |   |   |   |   |   |--- longitude >  -123.54
|   |   |   |   |   |   |   |   |--- housing_median_age <= 13.00
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2577.50
|   |   |   |   |   |   |   |   |   |   |--- value: [100000.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2577.50
|   |   |   |   |   |   |   |   |   |   |--- value: [90800.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  13.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 20.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -123.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -123.22
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  20.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 30.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  30.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |--- latitude >  39.40
|   |   |   |   |   |   |   |--- housing_median_age <= 50.50
|   |   |   |   |   |   |   |   |--- median_income <= 3.97
|   |   |   |   |   |   |   |   |   |--- longitude <= -124.11
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 41.38
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  41.38
|   |   |   |   |   |   |   |   |   |   |   |--- value: [109400.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -124.11
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 348.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  348.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- median_income >  3.97
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 17.50
|   |   |   |   |   |   |   |   |   |   |--- value: [116100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  17.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 759.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [130600.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  759.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [133900.00]
|   |   |   |   |   |   |   |--- housing_median_age >  50.50
|   |   |   |   |   |   |   |   |--- latitude <= 40.64
|   |   |   |   |   |   |   |   |   |--- value: [55000.00]
|   |   |   |   |   |   |   |   |--- latitude >  40.64
|   |   |   |   |   |   |   |   |   |--- value: [50800.00]
|   |   |   |--- longitude >  -118.27
|   |   |   |   |--- longitude <= -117.16
|   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |--- housing_median_age <= 34.50
|   |   |   |   |   |   |   |--- longitude <= -117.24
|   |   |   |   |   |   |   |   |--- latitude <= 33.02
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.82
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 22.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [193800.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  22.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- latitude >  32.82
|   |   |   |   |   |   |   |   |   |   |--- households <= 608.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- households >  608.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- latitude >  33.02
|   |   |   |   |   |   |   |   |   |--- households <= 304.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 19.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  19.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- households >  304.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 30.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  30.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |--- longitude >  -117.24
|   |   |   |   |   |   |   |   |--- latitude <= 32.70
|   |   |   |   |   |   |   |   |   |--- households <= 269.50
|   |   |   |   |   |   |   |   |   |   |--- value: [67500.00]
|   |   |   |   |   |   |   |   |   |--- households >  269.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 443.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  443.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [334600.00]
|   |   |   |   |   |   |   |   |--- latitude >  32.70
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.19
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.19
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3982.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3982.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [252000.00]
|   |   |   |   |   |   |--- housing_median_age >  34.50
|   |   |   |   |   |   |   |--- latitude <= 33.77
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 297.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 38.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 654.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  654.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [235100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  38.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- total_bedrooms >  297.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.64
|   |   |   |   |   |   |   |   |   |   |--- value: [147800.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  32.64
|   |   |   |   |   |   |   |   |   |   |--- population <= 891.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- population >  891.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |--- latitude >  33.77
|   |   |   |   |   |   |   |   |--- longitude <= -118.19
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.20
|   |   |   |   |   |   |   |   |   |   |--- households <= 241.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  241.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.20
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2872.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2872.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [194000.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.19
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 3435.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.83
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.83
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- total_rooms >  3435.00
|   |   |   |   |   |   |   |   |   |   |--- value: [425500.00]
|   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |--- latitude <= 33.69
|   |   |   |   |   |   |   |--- housing_median_age <= 37.50
|   |   |   |   |   |   |   |   |--- longitude <= -117.72
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.52
|   |   |   |   |   |   |   |   |   |   |--- population <= 1395.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  1395.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [454100.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.52
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 22.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  22.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |--- longitude >  -117.72
|   |   |   |   |   |   |   |   |   |--- population <= 487.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1262.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1262.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [77100.00]
|   |   |   |   |   |   |   |   |   |--- population >  487.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.68
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.68
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |--- housing_median_age >  37.50
|   |   |   |   |   |   |   |   |--- population <= 802.00
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- population >  802.00
|   |   |   |   |   |   |   |   |   |--- households <= 394.00
|   |   |   |   |   |   |   |   |   |   |--- value: [326100.00]
|   |   |   |   |   |   |   |   |   |--- households >  394.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.58
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.58
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |--- latitude >  33.69
|   |   |   |   |   |   |   |--- latitude <= 34.09
|   |   |   |   |   |   |   |   |--- population <= 46.00
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- population >  46.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.17
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.09
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.09
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.17
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 24
|   |   |   |   |   |   |   |--- latitude >  34.09
|   |   |   |   |   |   |   |   |--- median_income <= 4.67
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3002.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3002.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- median_income >  4.67
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 544.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [230900.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  544.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [251100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.09
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.09
|   |   |   |   |   |   |   |   |   |   |   |--- value: [265900.00]
|   |   |   |   |--- longitude >  -117.16
|   |   |   |   |   |--- latitude <= 33.18
|   |   |   |   |   |   |--- latitude <= 32.75
|   |   |   |   |   |   |   |--- median_income <= 4.01
|   |   |   |   |   |   |   |   |--- housing_median_age <= 48.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 19.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2990.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2990.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  19.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.67
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.67
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- housing_median_age >  48.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.12
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.74
|   |   |   |   |   |   |   |   |   |   |   |--- value: [213100.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.74
|   |   |   |   |   |   |   |   |   |   |   |--- value: [185300.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.12
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.47
|   |   |   |   |   |   |   |   |   |   |   |--- value: [175400.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.47
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- median_income >  4.01
|   |   |   |   |   |   |   |   |--- housing_median_age <= 8.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 4.39
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 971.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  971.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [247800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  4.39
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 5.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [223300.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  5.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- housing_median_age >  8.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 4.15
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.14
|   |   |   |   |   |   |   |   |   |   |   |--- value: [303900.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  4.15
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- latitude >  32.75
|   |   |   |   |   |   |   |--- median_income <= 4.22
|   |   |   |   |   |   |   |   |--- median_income <= 3.53
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1428.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 25.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  25.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [147700.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1428.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.81
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.81
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |--- median_income >  3.53
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.76
|   |   |   |   |   |   |   |   |   |   |--- population <= 1765.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  1765.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [178100.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  32.76
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 4224.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  4224.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |--- median_income >  4.22
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 2070.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 45.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2366.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2366.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  45.00
|   |   |   |   |   |   |   |   |   |   |--- value: [300000.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  2070.50
|   |   |   |   |   |   |   |   |   |--- value: [353000.00]
|   |   |   |   |   |--- latitude >  33.18
|   |   |   |   |   |   |--- housing_median_age <= 4.50
|   |   |   |   |   |   |   |--- households <= 2247.50
|   |   |   |   |   |   |   |   |--- households <= 815.50
|   |   |   |   |   |   |   |   |   |--- value: [145600.00]
|   |   |   |   |   |   |   |   |--- households >  815.50
|   |   |   |   |   |   |   |   |   |--- value: [174200.00]
|   |   |   |   |   |   |   |--- households >  2247.50
|   |   |   |   |   |   |   |   |--- median_income <= 4.29
|   |   |   |   |   |   |   |   |   |--- value: [191100.00]
|   |   |   |   |   |   |   |   |--- median_income >  4.29
|   |   |   |   |   |   |   |   |   |--- value: [212300.00]
|   |   |   |   |   |   |--- housing_median_age >  4.50
|   |   |   |   |   |   |   |--- housing_median_age <= 16.50
|   |   |   |   |   |   |   |   |--- latitude <= 33.42
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.04
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.26
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.26
|   |   |   |   |   |   |   |   |   |   |   |--- value: [232800.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.04
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.30
|   |   |   |   |   |   |   |   |   |   |   |--- value: [254100.00]
|   |   |   |   |   |   |   |   |--- latitude >  33.42
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2669.50
|   |   |   |   |   |   |   |   |   |   |--- value: [307600.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2669.50
|   |   |   |   |   |   |   |   |   |   |--- value: [347700.00]
|   |   |   |   |   |   |   |--- housing_median_age >  16.50
|   |   |   |   |   |   |   |   |--- population <= 1731.00
|   |   |   |   |   |   |   |   |   |--- value: [250000.00]
|   |   |   |   |   |   |   |   |--- population >  1731.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.38
|   |   |   |   |   |   |   |   |   |   |--- value: [168800.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.38
|   |   |   |   |   |   |   |   |   |   |--- value: [208300.00]
|   |--- median_income >  5.02
|   |   |--- median_income <= 953.00
|   |   |   |--- median_income <= 6.88
|   |   |   |   |--- housing_median_age <= 36.50
|   |   |   |   |   |--- median_income <= 5.83
|   |   |   |   |   |   |--- longitude <= -118.06
|   |   |   |   |   |   |   |--- latitude <= 34.17
|   |   |   |   |   |   |   |   |--- longitude <= -118.37
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- longitude >  -118.37
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.75
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.73
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.73
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- latitude >  33.75
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.33
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.33
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |--- latitude >  34.17
|   |   |   |   |   |   |   |   |--- longitude <= -118.99
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 20.50
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 18
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  20.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 527.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- population >  527.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |--- longitude >  -118.99
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.35
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 526.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  526.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.35
|   |   |   |   |   |   |   |   |   |   |--- households <= 604.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- households >  604.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [219900.00]
|   |   |   |   |   |   |--- longitude >  -118.06
|   |   |   |   |   |   |   |--- longitude <= -117.15
|   |   |   |   |   |   |   |   |--- latitude <= 33.66
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.76
|   |   |   |   |   |   |   |   |   |   |--- households <= 460.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- households >  460.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.76
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.56
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.56
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- latitude >  33.66
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 33.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.88
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.88
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  33.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.93
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.93
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- longitude >  -117.15
|   |   |   |   |   |   |   |   |--- total_rooms <= 3132.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.55
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- median_income >  5.55
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.06
|   |   |   |   |   |   |   |   |   |   |   |--- value: [278000.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.06
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- total_rooms >  3132.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.06
|   |   |   |   |   |   |   |   |   |   |--- population <= 1786.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [222400.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  1786.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.06
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.92
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |--- median_income >  5.83
|   |   |   |   |   |   |--- housing_median_age <= 26.50
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |--- longitude <= -118.03
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.29
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.29
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.01
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.01
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 19
|   |   |   |   |   |   |   |   |--- longitude >  -118.03
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1785.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.89
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.89
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1785.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1073.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- population >  1073.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 18
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 1032.00
|   |   |   |   |   |   |   |   |   |--- population <= 270.50
|   |   |   |   |   |   |   |   |   |   |--- value: [281700.00]
|   |   |   |   |   |   |   |   |   |--- population >  270.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 18.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [178100.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  18.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [166900.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  1032.00
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.86
|   |   |   |   |   |   |   |   |   |   |--- population <= 1557.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  1557.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [308800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  5.86
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.27
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.27
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |--- housing_median_age >  26.50
|   |   |   |   |   |   |   |--- median_income <= 6.32
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.69
|   |   |   |   |   |   |   |   |   |   |--- population <= 488.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  488.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- latitude >  33.69
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.05
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.05
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.09
|   |   |   |   |   |   |   |   |   |   |--- value: [219200.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.09
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3941.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3941.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- median_income >  6.32
|   |   |   |   |   |   |   |   |--- longitude <= -117.12
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.68
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6.61
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6.61
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- latitude >  33.68
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |--- longitude >  -117.12
|   |   |   |   |   |   |   |   |   |--- value: [189100.00]
|   |   |   |   |--- housing_median_age >  36.50
|   |   |   |   |   |--- median_income <= 5.58
|   |   |   |   |   |   |--- total_bedrooms <= 469.50
|   |   |   |   |   |   |   |--- households <= 218.50
|   |   |   |   |   |   |   |   |--- longitude <= -118.35
|   |   |   |   |   |   |   |   |   |--- population <= 494.50
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- population >  494.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- longitude >  -118.35
|   |   |   |   |   |   |   |   |   |--- households <= 97.50
|   |   |   |   |   |   |   |   |   |   |--- value: [111700.00]
|   |   |   |   |   |   |   |   |   |--- households >  97.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.55
|   |   |   |   |   |   |   |   |   |   |   |--- value: [142000.00]
|   |   |   |   |   |   |   |--- households >  218.50
|   |   |   |   |   |   |   |   |--- population <= 745.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1580.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1580.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.80
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.80
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- population >  745.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.20
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.02
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- median_income >  5.20
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.26
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.26
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |--- total_bedrooms >  469.50
|   |   |   |   |   |   |   |--- population <= 1031.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 534.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2206.00
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [435000.00]
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2206.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- total_bedrooms >  534.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2701.00
|   |   |   |   |   |   |   |   |   |   |--- value: [476900.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2701.00
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |--- population >  1031.50
|   |   |   |   |   |   |   |   |--- households <= 652.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.56
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2603.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [476300.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2603.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- median_income >  5.56
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- households >  652.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.10
|   |   |   |   |   |   |   |   |   |   |--- value: [335100.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  5.10
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.04
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.04
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |--- median_income >  5.58
|   |   |   |   |   |   |--- total_rooms <= 327.50
|   |   |   |   |   |   |   |--- median_income <= 6.07
|   |   |   |   |   |   |   |   |--- longitude <= -118.17
|   |   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.17
|   |   |   |   |   |   |   |   |   |--- value: [187500.00]
|   |   |   |   |   |   |   |--- median_income >  6.07
|   |   |   |   |   |   |   |   |--- value: [75000.00]
|   |   |   |   |   |   |--- total_rooms >  327.50
|   |   |   |   |   |   |   |--- total_bedrooms <= 308.50
|   |   |   |   |   |   |   |   |--- housing_median_age <= 47.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 6.35
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- median_income >  6.35
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 39.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [294400.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  39.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- housing_median_age >  47.50
|   |   |   |   |   |   |   |   |   |--- population <= 591.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- population >  591.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 253.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  253.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |--- total_bedrooms >  308.50
|   |   |   |   |   |   |   |   |--- latitude <= 34.09
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.17
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6.77
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6.77
|   |   |   |   |   |   |   |   |   |   |   |--- value: [294100.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.17
|   |   |   |   |   |   |   |   |   |   |--- value: [281600.00]
|   |   |   |   |   |   |   |   |--- latitude >  34.09
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.36
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.36
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6.29
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6.29
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |--- median_income >  6.88
|   |   |   |   |--- median_income <= 7.82
|   |   |   |   |   |--- housing_median_age <= 25.50
|   |   |   |   |   |   |--- median_income <= 7.26
|   |   |   |   |   |   |   |--- total_bedrooms <= 83.00
|   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  83.00
|   |   |   |   |   |   |   |   |--- longitude <= -117.95
|   |   |   |   |   |   |   |   |   |--- median_income <= 7.07
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 5223.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  5223.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- median_income >  7.07
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.78
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- longitude >  -117.95
|   |   |   |   |   |   |   |   |   |--- population <= 537.50
|   |   |   |   |   |   |   |   |   |   |--- value: [493300.00]
|   |   |   |   |   |   |   |   |   |--- population >  537.50
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- median_income >  7.26
|   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |--- housing_median_age <= 14.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 1660.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 670.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  670.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  1660.50
|   |   |   |   |   |   |   |   |   |   |--- value: [450400.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  14.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.90
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 17.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  17.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- latitude >  37.90
|   |   |   |   |   |   |   |   |   |   |--- households <= 482.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [330200.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  482.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |--- longitude <= -122.05
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.76
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  37.76
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 444.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [423200.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  444.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [381300.00]
|   |   |   |   |   |   |   |   |--- longitude >  -122.05
|   |   |   |   |   |   |   |   |   |--- median_income <= 7.58
|   |   |   |   |   |   |   |   |   |   |--- households <= 298.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- households >  298.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- median_income >  7.58
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1626.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1626.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |--- housing_median_age >  25.50
|   |   |   |   |   |   |--- latitude <= 37.66
|   |   |   |   |   |   |   |--- longitude <= -118.26
|   |   |   |   |   |   |   |   |--- housing_median_age <= 27.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2625.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.38
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.38
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2625.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 1541.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  1541.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- housing_median_age >  27.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 330.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 7.53
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  7.53
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  330.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 381.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  381.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |--- longitude >  -118.26
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 348.50
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 48.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  48.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 34.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  34.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- total_bedrooms >  348.50
|   |   |   |   |   |   |   |   |   |--- population <= 1405.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.77
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.77
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- population >  1405.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 4748.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  4748.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [441900.00]
|   |   |   |   |   |   |--- latitude >  37.66
|   |   |   |   |   |   |   |--- longitude <= -122.35
|   |   |   |   |   |   |   |   |--- median_income <= 7.53
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 45.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 7.12
|   |   |   |   |   |   |   |   |   |   |   |--- value: [455900.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  7.12
|   |   |   |   |   |   |   |   |   |   |   |--- value: [444000.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  45.00
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- median_income >  7.53
|   |   |   |   |   |   |   |   |   |--- value: [316700.00]
|   |   |   |   |   |   |   |--- longitude >  -122.35
|   |   |   |   |   |   |   |   |--- latitude <= 37.80
|   |   |   |   |   |   |   |   |   |--- households <= 161.50
|   |   |   |   |   |   |   |   |   |   |--- value: [329800.00]
|   |   |   |   |   |   |   |   |   |--- households >  161.50
|   |   |   |   |   |   |   |   |   |   |--- value: [240700.00]
|   |   |   |   |   |   |   |   |--- latitude >  37.80
|   |   |   |   |   |   |   |   |   |--- median_income <= 7.57
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 7.48
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- median_income >  7.48
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- median_income >  7.57
|   |   |   |   |   |   |   |   |   |   |--- households <= 209.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [378100.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  209.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |--- median_income >  7.82
|   |   |   |   |   |--- population <= 56.50
|   |   |   |   |   |   |--- population <= 27.00
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY <= 0.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.00
|   |   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 52.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [400000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  52.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [375000.00]
|   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY >  0.50
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |--- value: [162500.00]
|   |   |   |   |   |   |--- population >  27.00
|   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 22.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 73.00
|   |   |   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  73.00
|   |   |   |   |   |   |   |   |   |   |--- value: [281000.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  22.50
|   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |--- population <= 48.00
|   |   |   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |   |   |   |--- population >  48.00
|   |   |   |   |   |   |   |   |   |--- value: [131300.00]
|   |   |   |   |   |--- population >  56.50
|   |   |   |   |   |   |--- median_income <= 8.89
|   |   |   |   |   |   |   |--- housing_median_age <= 28.50
|   |   |   |   |   |   |   |   |--- longitude <= -118.08
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.14
|   |   |   |   |   |   |   |   |   |   |--- population <= 703.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  703.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  34.14
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 124.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  124.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- longitude >  -118.08
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.98
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [406300.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  32.98
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |--- housing_median_age >  28.50
|   |   |   |   |   |   |   |   |--- latitude <= 37.81
|   |   |   |   |   |   |   |   |   |--- median_income <= 8.11
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- median_income >  8.11
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.38
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.38
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- latitude >  37.81
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.36
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 4074.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  4074.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.36
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.90
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.90
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- median_income >  8.89
|   |   |   |   |   |   |   |--- median_income <= 414.00
|   |   |   |   |   |   |   |   |--- total_rooms <= 182.00
|   |   |   |   |   |   |   |   |   |--- population <= 93.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- population >  93.50
|   |   |   |   |   |   |   |   |   |   |--- value: [182500.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  182.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.08
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.74
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.74
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.08
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 10.13
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- median_income >  10.13
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |--- median_income >  414.00
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 401.00
|   |   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  401.00
|   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |--- median_income >  953.00
|   |   |   |--- median_income <= 5608.50
|   |   |   |   |--- median_income <= 2877.00
|   |   |   |   |   |--- median_income <= 2280.50
|   |   |   |   |   |   |--- households <= 1258.00
|   |   |   |   |   |   |   |--- longitude <= -123.19
|   |   |   |   |   |   |   |   |--- median_income <= 2226.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 40.17
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 504.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [84400.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  504.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [82400.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  40.17
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -123.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -123.84
|   |   |   |   |   |   |   |   |   |   |   |--- value: [54300.00]
|   |   |   |   |   |   |   |   |--- median_income >  2226.50
|   |   |   |   |   |   |   |   |   |--- value: [122400.00]
|   |   |   |   |   |   |   |--- longitude >  -123.19
|   |   |   |   |   |   |   |   |--- latitude <= 34.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 17.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  17.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.33
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.33
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |--- latitude >  34.00
|   |   |   |   |   |   |   |   |   |--- households <= 480.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- households >  480.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 46.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  46.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- households >  1258.00
|   |   |   |   |   |   |   |--- total_bedrooms <= 1635.00
|   |   |   |   |   |   |   |   |--- latitude <= 34.08
|   |   |   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |   |   |   |--- latitude >  34.08
|   |   |   |   |   |   |   |   |   |--- value: [300000.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  1635.00
|   |   |   |   |   |   |   |   |--- households <= 1644.50
|   |   |   |   |   |   |   |   |   |--- value: [250000.00]
|   |   |   |   |   |   |   |   |--- households >  1644.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 35.94
|   |   |   |   |   |   |   |   |   |   |--- value: [237500.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  35.94
|   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |--- median_income >  2280.50
|   |   |   |   |   |   |--- latitude <= 37.72
|   |   |   |   |   |   |   |--- longitude <= -118.29
|   |   |   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.86
|   |   |   |   |   |   |   |   |   |   |--- value: [450000.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.86
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.39
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |   |   |--- population <= 820.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.07
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.07
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- population >  820.00
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- longitude >  -118.29
|   |   |   |   |   |   |   |   |--- longitude <= -117.12
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.98
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- value: [340400.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.24
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- latitude >  32.98
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.77
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.77
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- longitude >  -117.12
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 33.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 13.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [88300.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  13.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  33.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.10
|   |   |   |   |   |   |   |   |   |   |   |--- value: [86500.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.10
|   |   |   |   |   |   |   |   |   |   |   |--- value: [98900.00]
|   |   |   |   |   |   |--- latitude >  37.72
|   |   |   |   |   |   |   |--- median_income <= 2800.00
|   |   |   |   |   |   |   |   |--- longitude <= -122.26
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.90
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2780.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2780.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- latitude >  37.90
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2408.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2408.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- longitude >  -122.26
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 3293.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1158.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  1158.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- total_rooms >  3293.00
|   |   |   |   |   |   |   |   |   |   |--- value: [82400.00]
|   |   |   |   |   |   |   |--- median_income >  2800.00
|   |   |   |   |   |   |   |   |--- households <= 391.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 41.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 312.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [144800.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  312.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [143800.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  41.00
|   |   |   |   |   |   |   |   |   |   |--- value: [133400.00]
|   |   |   |   |   |   |   |   |--- households >  391.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 20.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.64
|   |   |   |   |   |   |   |   |   |   |   |--- value: [186200.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.64
|   |   |   |   |   |   |   |   |   |   |   |--- value: [189100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  20.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 1435.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [234000.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  1435.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [258400.00]
|   |   |   |   |--- median_income >  2877.00
|   |   |   |   |   |--- longitude <= -118.28
|   |   |   |   |   |   |--- latitude <= 34.17
|   |   |   |   |   |   |   |--- longitude <= -118.38
|   |   |   |   |   |   |   |   |--- longitude <= -118.47
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4733.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4733.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |   |   |   |--- value: [243800.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.47
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.93
|   |   |   |   |   |   |   |   |   |   |--- households <= 1630.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- households >  1630.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [336400.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.93
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.07
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.07
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- longitude >  -118.38
|   |   |   |   |   |   |   |   |--- latitude <= 34.05
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.86
|   |   |   |   |   |   |   |   |   |   |--- population <= 1016.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  1016.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- latitude >  33.86
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3785.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3785.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- latitude >  34.05
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.33
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.34
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.34
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.33
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 36.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  36.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |--- latitude >  34.17
|   |   |   |   |   |   |   |--- latitude <= 37.99
|   |   |   |   |   |   |   |   |--- longitude <= -122.35
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 51.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  51.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.76
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.76
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- longitude >  -122.35
|   |   |   |   |   |   |   |   |   |--- median_income <= 3880.50
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- median_income >  3880.50
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |--- latitude >  37.99
|   |   |   |   |   |   |   |   |--- median_income <= 4050.00
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY <= 0.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR BAY >  0.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2862.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  2862.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- median_income >  4050.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.51
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 14.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  14.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.51
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 34.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  34.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |--- longitude >  -118.28
|   |   |   |   |   |   |--- median_income <= 4531.00
|   |   |   |   |   |   |   |--- total_rooms <= 21.00
|   |   |   |   |   |   |   |   |--- value: [450000.00]
|   |   |   |   |   |   |   |--- total_rooms >  21.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 4.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 625.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  625.50
|   |   |   |   |   |   |   |   |   |   |--- value: [226000.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  4.50
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.18
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.18
|   |   |   |   |   |   |   |   |   |   |   |--- value: [331300.00]
|   |   |   |   |   |   |--- median_income >  4531.00
|   |   |   |   |   |   |   |--- longitude <= -117.17
|   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 5189.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4789.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [495500.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4789.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- median_income >  5189.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 672.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [408500.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  672.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- ocean_proximity_<1H OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |--- households <= 47.50
|   |   |   |   |   |   |   |   |   |   |--- value: [447400.00]
|   |   |   |   |   |   |   |   |   |--- households >  47.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 43.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  43.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |--- longitude >  -117.17
|   |   |   |   |   |   |   |   |--- population <= 1086.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 41.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  41.50
|   |   |   |   |   |   |   |   |   |   |--- value: [240900.00]
|   |   |   |   |   |   |   |   |--- population >  1086.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 32.78
|   |   |   |   |   |   |   |   |   |   |--- population <= 1385.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [266900.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  1385.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [273500.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  32.78
|   |   |   |   |   |   |   |   |   |   |--- population <= 3350.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  3350.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [263700.00]
|   |   |   |--- median_income >  5608.50
|   |   |   |   |--- median_income <= 8434.50
|   |   |   |   |   |--- housing_median_age <= 26.50
|   |   |   |   |   |   |--- median_income <= 6311.00
|   |   |   |   |   |   |   |--- population <= 1222.00
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 380.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 253.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 132.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [193800.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  132.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [201800.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  253.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1723.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [417000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1723.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |--- total_bedrooms >  380.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 6050.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 663.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  663.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  6050.00
|   |   |   |   |   |   |   |   |   |   |--- value: [315500.00]
|   |   |   |   |   |   |   |--- population >  1222.00
|   |   |   |   |   |   |   |   |--- median_income <= 5684.50
|   |   |   |   |   |   |   |   |   |--- population <= 1544.00
|   |   |   |   |   |   |   |   |   |   |--- value: [223300.00]
|   |   |   |   |   |   |   |   |   |--- population >  1544.00
|   |   |   |   |   |   |   |   |   |   |--- value: [225800.00]
|   |   |   |   |   |   |   |   |--- median_income >  5684.50
|   |   |   |   |   |   |   |   |   |--- population <= 2382.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- population >  2382.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5729.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [320800.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5729.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |--- median_income >  6311.00
|   |   |   |   |   |   |   |--- latitude <= 33.50
|   |   |   |   |   |   |   |   |--- latitude <= 32.95
|   |   |   |   |   |   |   |   |   |--- households <= 376.00
|   |   |   |   |   |   |   |   |   |   |--- value: [363600.00]
|   |   |   |   |   |   |   |   |   |--- households >  376.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.14
|   |   |   |   |   |   |   |   |   |   |   |--- value: [322500.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.14
|   |   |   |   |   |   |   |   |   |   |   |--- value: [330600.00]
|   |   |   |   |   |   |   |   |--- latitude >  32.95
|   |   |   |   |   |   |   |   |   |--- population <= 2138.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1114.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [250000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1114.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- population >  2138.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 10.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [296200.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  10.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [285200.00]
|   |   |   |   |   |   |   |--- latitude >  33.50
|   |   |   |   |   |   |   |   |--- latitude <= 33.52
|   |   |   |   |   |   |   |   |   |--- median_income <= 6351.00
|   |   |   |   |   |   |   |   |   |   |--- value: [480800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  6351.00
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- latitude >  33.52
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN <= 0.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- ocean_proximity_NEAR OCEAN >  0.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2167.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  2167.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [409300.00]
|   |   |   |   |   |--- housing_median_age >  26.50
|   |   |   |   |   |   |--- median_income <= 6413.50
|   |   |   |   |   |   |   |--- households <= 355.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 42.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 158.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 35.77
|   |   |   |   |   |   |   |   |   |   |   |--- value: [497600.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  35.77
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  158.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 246.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  246.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- housing_median_age >  42.50
|   |   |   |   |   |   |   |   |   |--- population <= 676.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 578.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  578.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [267900.00]
|   |   |   |   |   |   |   |   |   |--- population >  676.00
|   |   |   |   |   |   |   |   |   |   |--- value: [457400.00]
|   |   |   |   |   |   |   |--- households >  355.00
|   |   |   |   |   |   |   |   |--- latitude <= 35.85
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 448.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1073.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  1073.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  448.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5617.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [456600.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5617.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- latitude >  35.85
|   |   |   |   |   |   |   |   |   |--- population <= 2473.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 1407.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- population >  1407.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- population >  2473.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 7892.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [302100.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  7892.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [285600.00]
|   |   |   |   |   |   |--- median_income >  6413.50
|   |   |   |   |   |   |   |--- housing_median_age <= 32.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 1818.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 31.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1694.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1694.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [332500.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  31.00
|   |   |   |   |   |   |   |   |   |   |--- value: [401000.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  1818.50
|   |   |   |   |   |   |   |   |   |--- population <= 928.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 247.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [492500.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  247.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [498800.00]
|   |   |   |   |   |   |   |   |   |--- population >  928.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 596.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  596.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |--- housing_median_age >  32.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 2156.00
|   |   |   |   |   |   |   |   |   |--- population <= 403.50
|   |   |   |   |   |   |   |   |   |   |--- value: [383900.00]
|   |   |   |   |   |   |   |   |   |--- population >  403.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 221.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [467600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  221.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- total_rooms >  2156.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 46.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6963.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [372000.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6963.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  46.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2727.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2727.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |--- median_income >  8434.50
|   |   |   |   |   |--- longitude <= -117.86
|   |   |   |   |   |   |--- longitude <= -122.55
|   |   |   |   |   |   |   |--- value: [463500.00]
|   |   |   |   |   |   |--- longitude >  -122.55
|   |   |   |   |   |   |   |--- median_income <= 8480.00
|   |   |   |   |   |   |   |   |--- value: [472100.00]
|   |   |   |   |   |   |   |--- median_income >  8480.00
|   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |--- longitude >  -117.86
|   |   |   |   |   |   |--- longitude <= -117.67
|   |   |   |   |   |   |   |--- housing_median_age <= 9.50
|   |   |   |   |   |   |   |   |--- value: [397700.00]
|   |   |   |   |   |   |   |--- housing_median_age >  9.50
|   |   |   |   |   |   |   |   |--- value: [388700.00]
|   |   |   |   |   |   |--- longitude >  -117.67
|   |   |   |   |   |   |   |--- median_income <= 9477.00
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 425.50
|   |   |   |   |   |   |   |   |   |--- value: [459600.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  425.50
|   |   |   |   |   |   |   |   |   |--- value: [436600.00]
|   |   |   |   |   |   |   |--- median_income >  9477.00
|   |   |   |   |   |   |   |   |--- value: [500001.00]
|--- ocean_proximity_INLAND >  0.50
|   |--- median_income <= 3.55
|   |   |--- median_income <= 2.42
|   |   |   |--- latitude <= 37.32
|   |   |   |   |--- latitude <= 34.80
|   |   |   |   |   |--- longitude <= -117.42
|   |   |   |   |   |   |--- population <= 254.50
|   |   |   |   |   |   |   |--- population <= 101.50
|   |   |   |   |   |   |   |   |--- population <= 48.50
|   |   |   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |   |   |   |--- population >  48.50
|   |   |   |   |   |   |   |   |   |--- value: [137500.00]
|   |   |   |   |   |   |   |--- population >  101.50
|   |   |   |   |   |   |   |   |--- longitude <= -118.05
|   |   |   |   |   |   |   |   |   |--- value: [237500.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.05
|   |   |   |   |   |   |   |   |   |--- value: [226000.00]
|   |   |   |   |   |   |--- population >  254.50
|   |   |   |   |   |   |   |--- median_income <= 2.19
|   |   |   |   |   |   |   |   |--- median_income <= 1.09
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 281.00
|   |   |   |   |   |   |   |   |   |   |--- value: [116100.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  281.00
|   |   |   |   |   |   |   |   |   |   |--- value: [178100.00]
|   |   |   |   |   |   |   |   |--- median_income >  1.09
|   |   |   |   |   |   |   |   |   |--- households <= 575.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 8.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [137500.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  8.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- households >  575.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 1.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  1.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |--- median_income >  2.19
|   |   |   |   |   |   |   |   |--- longitude <= -117.90
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 35.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 28.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  28.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [94500.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  35.00
|   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |--- longitude >  -117.90
|   |   |   |   |   |   |   |   |   |--- population <= 404.00
|   |   |   |   |   |   |   |   |   |   |--- value: [191700.00]
|   |   |   |   |   |   |   |   |   |--- population >  404.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.25
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |--- longitude >  -117.42
|   |   |   |   |   |   |--- longitude <= -116.34
|   |   |   |   |   |   |   |--- latitude <= 33.71
|   |   |   |   |   |   |   |   |--- households <= 634.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 1.65
|   |   |   |   |   |   |   |   |   |   |--- value: [221900.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  1.65
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 202.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [93800.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  202.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- households >  634.50
|   |   |   |   |   |   |   |   |   |--- value: [248100.00]
|   |   |   |   |   |   |   |--- latitude >  33.71
|   |   |   |   |   |   |   |   |--- latitude <= 34.06
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.01
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 14.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  14.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.01
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |--- latitude >  34.06
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 27.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -116.91
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -116.91
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  27.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 367.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  367.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |--- longitude >  -116.34
|   |   |   |   |   |   |   |--- total_rooms <= 98.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 19.00
|   |   |   |   |   |   |   |   |   |--- value: [27500.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  19.00
|   |   |   |   |   |   |   |   |   |--- value: [25000.00]
|   |   |   |   |   |   |   |--- total_rooms >  98.00
|   |   |   |   |   |   |   |   |--- median_income <= 1.48
|   |   |   |   |   |   |   |   |   |--- population <= 925.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -116.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -116.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- population >  925.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.73
|   |   |   |   |   |   |   |   |   |   |   |--- value: [84700.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.73
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- median_income >  1.48
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2693.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 41.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  41.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [93800.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2693.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |--- latitude >  34.80
|   |   |   |   |   |--- longitude <= -121.01
|   |   |   |   |   |   |--- latitude <= 37.05
|   |   |   |   |   |   |   |--- housing_median_age <= 40.00
|   |   |   |   |   |   |   |   |--- value: [145400.00]
|   |   |   |   |   |   |   |--- housing_median_age >  40.00
|   |   |   |   |   |   |   |   |--- value: [170300.00]
|   |   |   |   |   |   |--- latitude >  37.05
|   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |--- longitude >  -121.01
|   |   |   |   |   |   |--- median_income <= 1.92
|   |   |   |   |   |   |   |--- population <= 271.00
|   |   |   |   |   |   |   |   |--- population <= 188.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.80
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.80
|   |   |   |   |   |   |   |   |   |   |--- value: [90000.00]
|   |   |   |   |   |   |   |   |--- population >  188.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -119.33
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [100000.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [120800.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -119.33
|   |   |   |   |   |   |   |   |   |   |--- value: [150000.00]
|   |   |   |   |   |   |   |--- population >  271.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 20.50
|   |   |   |   |   |   |   |   |   |--- population <= 848.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.27
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.27
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- population >  848.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3133.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3133.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- housing_median_age >  20.50
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.02
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 0.76
|   |   |   |   |   |   |   |   |   |   |   |--- value: [89500.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  0.76
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 19
|   |   |   |   |   |   |   |   |   |--- latitude >  37.02
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1661.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1661.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |--- median_income >  1.92
|   |   |   |   |   |   |   |--- population <= 425.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 40.50
|   |   |   |   |   |   |   |   |   |--- population <= 359.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- population >  359.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 26.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [87500.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  26.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [92500.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  40.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -119.01
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.40
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.40
|   |   |   |   |   |   |   |   |   |   |   |--- value: [72500.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -119.01
|   |   |   |   |   |   |   |   |   |   |--- value: [55500.00]
|   |   |   |   |   |   |   |--- population >  425.00
|   |   |   |   |   |   |   |   |--- total_rooms <= 842.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.07
|   |   |   |   |   |   |   |   |   |   |--- households <= 136.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  136.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.07
|   |   |   |   |   |   |   |   |   |   |--- value: [14999.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  842.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 26.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1519.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1519.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  26.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 174.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  174.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |--- latitude >  37.32
|   |   |   |   |--- latitude <= 39.35
|   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |--- housing_median_age <= 7.50
|   |   |   |   |   |   |   |--- longitude <= -121.65
|   |   |   |   |   |   |   |   |--- total_rooms <= 1671.00
|   |   |   |   |   |   |   |   |   |--- value: [231300.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  1671.00
|   |   |   |   |   |   |   |   |   |--- value: [310000.00]
|   |   |   |   |   |   |   |--- longitude >  -121.65
|   |   |   |   |   |   |   |   |--- longitude <= -121.43
|   |   |   |   |   |   |   |   |   |--- value: [162500.00]
|   |   |   |   |   |   |   |   |--- longitude >  -121.43
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 4359.00
|   |   |   |   |   |   |   |   |   |   |--- value: [127500.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  4359.00
|   |   |   |   |   |   |   |   |   |   |--- value: [116600.00]
|   |   |   |   |   |   |--- housing_median_age >  7.50
|   |   |   |   |   |   |   |--- latitude <= 38.87
|   |   |   |   |   |   |   |   |--- longitude <= -122.15
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.51
|   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.51
|   |   |   |   |   |   |   |   |   |   |--- population <= 754.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [184400.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  754.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [201200.00]
|   |   |   |   |   |   |   |   |--- longitude >  -122.15
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.52
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 12.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [122300.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  12.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- latitude >  37.52
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 9.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  9.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 17
|   |   |   |   |   |   |   |--- latitude >  38.87
|   |   |   |   |   |   |   |   |--- median_income <= 2.34
|   |   |   |   |   |   |   |   |   |--- latitude <= 39.17
|   |   |   |   |   |   |   |   |   |   |--- population <= 203.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  203.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- latitude >  39.17
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- median_income >  2.34
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.32
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.08
|   |   |   |   |   |   |   |   |   |   |   |--- value: [134700.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.08
|   |   |   |   |   |   |   |   |   |   |   |--- value: [114800.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.32
|   |   |   |   |   |   |   |   |   |   |--- households <= 302.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [155700.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  302.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [166800.00]
|   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |--- longitude <= -121.22
|   |   |   |   |   |   |   |--- longitude <= -121.28
|   |   |   |   |   |   |   |   |--- latitude <= 38.89
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.57
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.62
|   |   |   |   |   |   |   |   |   |   |   |--- value: [258300.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.57
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.41
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |--- latitude >  38.89
|   |   |   |   |   |   |   |   |   |--- median_income <= 1.47
|   |   |   |   |   |   |   |   |   |   |--- population <= 1098.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  1098.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  1.47
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 1.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- median_income >  1.96
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |--- longitude >  -121.28
|   |   |   |   |   |   |   |   |--- latitude <= 37.99
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.89
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1010.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [83600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1010.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- latitude >  37.89
|   |   |   |   |   |   |   |   |   |   |--- households <= 113.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  113.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |--- latitude >  37.99
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 334.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.13
|   |   |   |   |   |   |   |   |   |   |   |--- value: [155000.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.13
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  334.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.27
|   |   |   |   |   |   |   |   |   |   |   |--- value: [101900.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.27
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |--- longitude >  -121.22
|   |   |   |   |   |   |   |--- population <= 279.00
|   |   |   |   |   |   |   |   |--- median_income <= 2.05
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 44.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.16
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.16
|   |   |   |   |   |   |   |   |   |   |   |--- value: [143800.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  44.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 69.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- households >  69.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [101800.00]
|   |   |   |   |   |   |   |   |--- median_income >  2.05
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.68
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 33.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [250000.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  33.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  37.68
|   |   |   |   |   |   |   |   |   |   |--- households <= 41.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [175000.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  41.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [162500.00]
|   |   |   |   |   |   |   |--- population >  279.00
|   |   |   |   |   |   |   |   |--- latitude <= 39.24
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.64
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.74
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.74
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- latitude >  37.64
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 155.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  155.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- latitude >  39.24
|   |   |   |   |   |   |   |   |   |--- households <= 276.00
|   |   |   |   |   |   |   |   |   |   |--- value: [155400.00]
|   |   |   |   |   |   |   |   |   |--- households >  276.00
|   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |--- latitude >  39.35
|   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |--- total_bedrooms <= 75.50
|   |   |   |   |   |   |   |--- total_bedrooms <= 63.50
|   |   |   |   |   |   |   |   |--- value: [42500.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  63.50
|   |   |   |   |   |   |   |   |--- value: [14999.00]
|   |   |   |   |   |   |--- total_bedrooms >  75.50
|   |   |   |   |   |   |   |--- total_bedrooms <= 2317.00
|   |   |   |   |   |   |   |   |--- latitude <= 41.49
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 872.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 138.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  138.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_rooms >  872.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 202.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  202.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |--- latitude >  41.49
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.11
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [53500.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  2.11
|   |   |   |   |   |   |   |   |   |   |--- value: [61400.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  2317.00
|   |   |   |   |   |   |   |   |--- value: [153100.00]
|   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |--- latitude <= 40.95
|   |   |   |   |   |   |   |--- total_bedrooms <= 103.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 482.00
|   |   |   |   |   |   |   |   |   |--- value: [53000.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  482.00
|   |   |   |   |   |   |   |   |   |--- value: [200000.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  103.50
|   |   |   |   |   |   |   |   |--- latitude <= 39.52
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.58
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2573.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2573.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [85500.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.58
|   |   |   |   |   |   |   |   |   |   |--- population <= 841.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  841.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- latitude >  39.52
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 24.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.91
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.91
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  24.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 51.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  51.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |--- latitude >  40.95
|   |   |   |   |   |   |   |--- longitude <= -122.01
|   |   |   |   |   |   |   |   |--- households <= 350.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 24.50
|   |   |   |   |   |   |   |   |   |   |--- households <= 237.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [80100.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  237.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [70100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  24.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 1.46
|   |   |   |   |   |   |   |   |   |   |   |--- value: [71900.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  1.46
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- households >  350.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 574.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 36.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  36.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [46200.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  574.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 41.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  41.72
|   |   |   |   |   |   |   |   |   |   |   |--- value: [71200.00]
|   |   |   |   |   |   |   |--- longitude >  -122.01
|   |   |   |   |   |   |   |   |--- latitude <= 41.58
|   |   |   |   |   |   |   |   |   |--- longitude <= -120.62
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 846.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [34200.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  846.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [34600.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -120.62
|   |   |   |   |   |   |   |   |   |   |--- value: [40000.00]
|   |   |   |   |   |   |   |   |--- latitude >  41.58
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 25.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.05
|   |   |   |   |   |   |   |   |   |   |   |--- value: [47500.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.05
|   |   |   |   |   |   |   |   |   |   |   |--- value: [47900.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  25.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 619.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [44000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  619.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |--- median_income >  2.42
|   |   |   |--- total_rooms <= 52.50
|   |   |   |   |--- value: [500001.00]
|   |   |   |--- total_rooms >  52.50
|   |   |   |   |--- median_income <= 3.07
|   |   |   |   |   |--- latitude <= 34.21
|   |   |   |   |   |   |--- longitude <= -118.00
|   |   |   |   |   |   |   |--- latitude <= 34.09
|   |   |   |   |   |   |   |   |--- median_income <= 2.95
|   |   |   |   |   |   |   |   |   |--- median_income <= 2.71
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 557.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [169600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  557.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [175900.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  2.71
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.03
|   |   |   |   |   |   |   |   |   |   |   |--- value: [186000.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.03
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- median_income >  2.95
|   |   |   |   |   |   |   |   |   |--- value: [162800.00]
|   |   |   |   |   |   |   |--- latitude >  34.09
|   |   |   |   |   |   |   |   |--- housing_median_age <= 31.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.12
|   |   |   |   |   |   |   |   |   |   |--- value: [201700.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  34.12
|   |   |   |   |   |   |   |   |   |   |--- population <= 1299.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [177500.00]
|   |   |   |   |   |   |   |   |   |   |--- population >  1299.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [161700.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  31.00
|   |   |   |   |   |   |   |   |   |--- population <= 1161.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 311.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [252800.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  311.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- population >  1161.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 42.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [233100.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  42.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [222600.00]
|   |   |   |   |   |   |--- longitude >  -118.00
|   |   |   |   |   |   |   |--- longitude <= -117.59
|   |   |   |   |   |   |   |   |--- latitude <= 33.99
|   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |   |--- latitude >  33.99
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.14
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.66
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.66
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- latitude >  34.14
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 564.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  564.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [209200.00]
|   |   |   |   |   |   |   |--- longitude >  -117.59
|   |   |   |   |   |   |   |   |--- latitude <= 33.90
|   |   |   |   |   |   |   |   |   |--- longitude <= -116.24
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 3.01
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- median_income >  3.01
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- longitude >  -116.24
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 48.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [58800.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  48.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- latitude >  33.90
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1242.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.34
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.34
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1242.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 963.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- population >  963.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |--- latitude >  34.21
|   |   |   |   |   |   |--- latitude <= 36.84
|   |   |   |   |   |   |   |--- total_rooms <= 182.00
|   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |--- total_rooms >  182.00
|   |   |   |   |   |   |   |   |--- latitude <= 34.86
|   |   |   |   |   |   |   |   |   |--- population <= 455.00
|   |   |   |   |   |   |   |   |   |   |--- value: [187500.00]
|   |   |   |   |   |   |   |   |   |--- population >  455.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 7170.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  7170.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- latitude >  34.86
|   |   |   |   |   |   |   |   |   |--- population <= 549.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2.54
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2.54
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- population >  549.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 27.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  27.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |--- latitude >  36.84
|   |   |   |   |   |   |   |--- latitude <= 39.32
|   |   |   |   |   |   |   |   |--- median_income <= 2.42
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 197.50
|   |   |   |   |   |   |   |   |   |   |--- value: [268800.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  197.50
|   |   |   |   |   |   |   |   |   |   |--- value: [217500.00]
|   |   |   |   |   |   |   |   |--- median_income >  2.42
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 582.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 206.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- population >  206.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 19
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  582.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 1959.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- population >  1959.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |--- latitude >  39.32
|   |   |   |   |   |   |   |   |--- longitude <= -121.56
|   |   |   |   |   |   |   |   |   |--- longitude <= -122.49
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 435.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  435.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- longitude >  -122.49
|   |   |   |   |   |   |   |   |   |   |--- population <= 1573.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- population >  1573.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- longitude >  -121.56
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 587.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 25.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  25.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  587.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [94700.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [122100.00]
|   |   |   |   |--- median_income >  3.07
|   |   |   |   |   |--- housing_median_age <= 43.50
|   |   |   |   |   |   |--- longitude <= -120.82
|   |   |   |   |   |   |   |--- latitude <= 37.97
|   |   |   |   |   |   |   |   |--- longitude <= -121.49
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.01
|   |   |   |   |   |   |   |   |   |   |--- value: [305000.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  37.01
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.82
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.82
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- longitude >  -121.49
|   |   |   |   |   |   |   |   |   |--- households <= 89.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.85
|   |   |   |   |   |   |   |   |   |   |   |--- value: [208300.00]
|   |   |   |   |   |   |   |   |   |--- households >  89.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.90
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.90
|   |   |   |   |   |   |   |   |   |   |   |--- value: [73100.00]
|   |   |   |   |   |   |   |--- latitude >  37.97
|   |   |   |   |   |   |   |   |--- longitude <= -121.24
|   |   |   |   |   |   |   |   |   |--- latitude <= 38.67
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -122.06
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -122.06
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- latitude >  38.67
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 498.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  498.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |--- longitude >  -121.24
|   |   |   |   |   |   |   |   |   |--- longitude <= -120.94
|   |   |   |   |   |   |   |   |   |   |--- households <= 673.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- households >  673.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- longitude >  -120.94
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 39.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  39.62
|   |   |   |   |   |   |   |   |   |   |   |--- value: [96600.00]
|   |   |   |   |   |   |--- longitude >  -120.82
|   |   |   |   |   |   |   |--- latitude <= 34.86
|   |   |   |   |   |   |   |   |--- longitude <= -117.77
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.68
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -118.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -118.02
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |--- latitude >  34.68
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 226.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [156300.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  226.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- longitude >  -117.77
|   |   |   |   |   |   |   |   |   |--- longitude <= -116.28
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |   |--- longitude >  -116.28
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 13.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  13.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- latitude >  34.86
|   |   |   |   |   |   |   |   |--- latitude <= 37.38
|   |   |   |   |   |   |   |   |   |--- latitude <= 36.23
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 9.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  9.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |--- latitude >  36.23
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 5.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [148000.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  5.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |--- latitude >  37.38
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 4017.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 123.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- households >  123.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- total_rooms >  4017.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 1494.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  1494.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |--- housing_median_age >  43.50
|   |   |   |   |   |   |--- longitude <= -118.94
|   |   |   |   |   |   |   |--- longitude <= -121.44
|   |   |   |   |   |   |   |   |--- median_income <= 3.32
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1947.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 165.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [213200.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  165.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1947.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.54
|   |   |   |   |   |   |   |   |   |   |   |--- value: [247600.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.54
|   |   |   |   |   |   |   |   |   |   |   |--- value: [236100.00]
|   |   |   |   |   |   |   |   |--- median_income >  3.32
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1920.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 941.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  941.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [137500.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1920.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 375.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [147900.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  375.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- longitude >  -121.44
|   |   |   |   |   |   |   |   |--- latitude <= 36.78
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1601.50
|   |   |   |   |   |   |   |   |   |   |--- value: [70100.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1601.50
|   |   |   |   |   |   |   |   |   |   |--- value: [72200.00]
|   |   |   |   |   |   |   |   |--- latitude >  36.78
|   |   |   |   |   |   |   |   |   |--- latitude <= 38.55
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1073.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1073.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- latitude >  38.55
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.22
|   |   |   |   |   |   |   |   |   |   |   |--- value: [137800.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.22
|   |   |   |   |   |   |   |   |   |   |   |--- value: [155000.00]
|   |   |   |   |   |   |--- longitude >  -118.94
|   |   |   |   |   |   |   |--- longitude <= -117.56
|   |   |   |   |   |   |   |   |--- housing_median_age <= 47.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 44.50
|   |   |   |   |   |   |   |   |   |   |--- value: [185600.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  44.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.16
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.16
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- housing_median_age >  47.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.10
|   |   |   |   |   |   |   |   |   |   |--- value: [239900.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.10
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 50.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  50.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [291200.00]
|   |   |   |   |   |   |   |--- longitude >  -117.56
|   |   |   |   |   |   |   |   |--- population <= 852.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1564.00
|   |   |   |   |   |   |   |   |   |   |--- value: [84000.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1564.00
|   |   |   |   |   |   |   |   |   |   |--- value: [102600.00]
|   |   |   |   |   |   |   |   |--- population >  852.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 1953.50
|   |   |   |   |   |   |   |   |   |   |--- value: [117900.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  1953.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2436.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [129300.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2436.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [123800.00]
|   |--- median_income >  3.55
|   |   |--- median_income <= 275.50
|   |   |   |--- median_income <= 6.34
|   |   |   |   |--- median_income <= 4.62
|   |   |   |   |   |--- median_income <= 4.07
|   |   |   |   |   |   |--- longitude <= -117.49
|   |   |   |   |   |   |   |--- latitude <= 34.39
|   |   |   |   |   |   |   |   |--- longitude <= -118.01
|   |   |   |   |   |   |   |   |   |--- median_income <= 3.55
|   |   |   |   |   |   |   |   |   |   |--- value: [476700.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  3.55
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 31.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  31.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- longitude >  -118.01
|   |   |   |   |   |   |   |   |   |--- households <= 45.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500000.00]
|   |   |   |   |   |   |   |   |   |--- households >  45.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 41.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  41.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- latitude >  34.39
|   |   |   |   |   |   |   |   |--- longitude <= -119.90
|   |   |   |   |   |   |   |   |   |--- latitude <= 39.28
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 108.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  108.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 22
|   |   |   |   |   |   |   |   |   |--- latitude >  39.28
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 14.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  14.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |--- longitude >  -119.90
|   |   |   |   |   |   |   |   |   |--- latitude <= 35.23
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 13.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  13.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- latitude >  35.23
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 36.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- latitude >  36.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- longitude >  -117.49
|   |   |   |   |   |   |   |--- longitude <= -116.34
|   |   |   |   |   |   |   |   |--- latitude <= 34.08
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 1620.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  1620.50
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 1827.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [235600.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  1827.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- latitude >  34.08
|   |   |   |   |   |   |   |   |   |--- median_income <= 4.01
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.70
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.70
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |--- median_income >  4.01
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -116.85
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -116.85
|   |   |   |   |   |   |   |   |   |   |   |--- value: [163100.00]
|   |   |   |   |   |   |   |--- longitude >  -116.34
|   |   |   |   |   |   |   |   |--- total_rooms <= 521.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 330.00
|   |   |   |   |   |   |   |   |   |   |--- value: [32500.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  330.00
|   |   |   |   |   |   |   |   |   |   |--- value: [65800.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  521.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 3.62
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.81
|   |   |   |   |   |   |   |   |   |   |   |--- value: [73600.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.81
|   |   |   |   |   |   |   |   |   |   |   |--- value: [71100.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  3.62
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 32.82
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  32.82
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |--- median_income >  4.07
|   |   |   |   |   |   |--- housing_median_age <= 41.50
|   |   |   |   |   |   |   |--- longitude <= -120.05
|   |   |   |   |   |   |   |   |--- longitude <= -120.07
|   |   |   |   |   |   |   |   |   |--- latitude <= 36.83
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 36.78
|   |   |   |   |   |   |   |   |   |   |   |--- value: [336800.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  36.78
|   |   |   |   |   |   |   |   |   |   |   |--- value: [363300.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  36.83
|   |   |   |   |   |   |   |   |   |   |--- households <= 58.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- households >  58.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 24
|   |   |   |   |   |   |   |   |--- longitude >  -120.07
|   |   |   |   |   |   |   |   |   |--- value: [437500.00]
|   |   |   |   |   |   |   |--- longitude >  -120.05
|   |   |   |   |   |   |   |   |--- latitude <= 34.69
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.74
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.35
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.74
|   |   |   |   |   |   |   |   |   |   |--- households <= 67.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- households >  67.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 15
|   |   |   |   |   |   |   |   |--- latitude >  34.69
|   |   |   |   |   |   |   |   |   |--- latitude <= 36.93
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 36.32
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- latitude >  36.32
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- latitude >  36.93
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -119.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -119.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- housing_median_age >  41.50
|   |   |   |   |   |   |   |--- median_income <= 4.24
|   |   |   |   |   |   |   |   |--- population <= 738.00
|   |   |   |   |   |   |   |   |   |--- value: [486800.00]
|   |   |   |   |   |   |   |   |--- population >  738.00
|   |   |   |   |   |   |   |   |   |--- median_income <= 4.18
|   |   |   |   |   |   |   |   |   |   |--- population <= 1181.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- population >  1181.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [114400.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  4.18
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 48.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  48.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [320300.00]
|   |   |   |   |   |   |   |--- median_income >  4.24
|   |   |   |   |   |   |   |   |--- population <= 96.50
|   |   |   |   |   |   |   |   |   |--- value: [375000.00]
|   |   |   |   |   |   |   |   |--- population >  96.50
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 559.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 693.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [68300.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  693.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  559.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 615.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [234000.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  615.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [242400.00]
|   |   |   |   |--- median_income >  4.62
|   |   |   |   |   |--- housing_median_age <= 32.50
|   |   |   |   |   |   |--- median_income <= 5.42
|   |   |   |   |   |   |   |--- longitude <= -122.26
|   |   |   |   |   |   |   |   |--- population <= 960.50
|   |   |   |   |   |   |   |   |   |--- population <= 677.00
|   |   |   |   |   |   |   |   |   |   |--- value: [303300.00]
|   |   |   |   |   |   |   |   |   |--- population >  677.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4.71
|   |   |   |   |   |   |   |   |   |   |   |--- value: [348200.00]
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4.71
|   |   |   |   |   |   |   |   |   |   |   |--- value: [361100.00]
|   |   |   |   |   |   |   |   |--- population >  960.50
|   |   |   |   |   |   |   |   |   |--- value: [146500.00]
|   |   |   |   |   |   |   |--- longitude >  -122.26
|   |   |   |   |   |   |   |   |--- longitude <= -120.99
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.62
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 5.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [161900.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  5.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- latitude >  37.62
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1741.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1741.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 16
|   |   |   |   |   |   |   |   |--- longitude >  -120.99
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.67
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.72
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 14
|   |   |   |   |   |   |   |   |   |--- latitude >  34.67
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 36.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |   |--- latitude >  36.84
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |--- median_income >  5.42
|   |   |   |   |   |   |   |--- housing_median_age <= 24.50
|   |   |   |   |   |   |   |   |--- longitude <= -120.62
|   |   |   |   |   |   |   |   |   |--- latitude <= 37.67
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- latitude >  37.67
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 12
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.19
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |--- longitude >  -120.62
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.65
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.21
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.21
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |   |   |--- latitude >  34.65
|   |   |   |   |   |   |   |   |   |   |--- population <= 683.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- population >  683.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |--- housing_median_age >  24.50
|   |   |   |   |   |   |   |   |--- longitude <= -116.85
|   |   |   |   |   |   |   |   |   |--- population <= 789.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- population >  789.00
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 512.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  512.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- longitude >  -116.85
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |--- housing_median_age >  32.50
|   |   |   |   |   |   |--- longitude <= -118.13
|   |   |   |   |   |   |   |--- housing_median_age <= 45.50
|   |   |   |   |   |   |   |   |--- total_rooms <= 245.00
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.28
|   |   |   |   |   |   |   |   |   |   |--- value: [105400.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.28
|   |   |   |   |   |   |   |   |   |   |--- value: [67500.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  245.00
|   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 133.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 40.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  40.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [212500.00]
|   |   |   |   |   |   |   |   |   |--- total_bedrooms >  133.50
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5.30
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |--- housing_median_age >  45.50
|   |   |   |   |   |   |   |   |--- longitude <= -121.90
|   |   |   |   |   |   |   |   |   |--- value: [315600.00]
|   |   |   |   |   |   |   |   |--- longitude >  -121.90
|   |   |   |   |   |   |   |   |   |--- median_income <= 5.44
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 4044.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  4044.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [236800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  5.44
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.62
|   |   |   |   |   |   |   |   |   |   |   |--- value: [209800.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.62
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |--- longitude >  -118.13
|   |   |   |   |   |   |   |--- latitude <= 34.09
|   |   |   |   |   |   |   |   |--- median_income <= 5.90
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.95
|   |   |   |   |   |   |   |   |   |   |--- value: [116000.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.95
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.53
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.53
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- median_income >  5.90
|   |   |   |   |   |   |   |   |   |--- value: [230600.00]
|   |   |   |   |   |   |   |--- latitude >  34.09
|   |   |   |   |   |   |   |   |--- longitude <= -118.09
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 3472.50
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1360.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1360.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- total_rooms >  3472.50
|   |   |   |   |   |   |   |   |   |   |--- value: [376000.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.09
|   |   |   |   |   |   |   |   |   |--- longitude <= -118.01
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.10
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |   |   |--- longitude >  -118.01
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2410.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2410.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |--- median_income >  6.34
|   |   |   |   |--- median_income <= 7.81
|   |   |   |   |   |--- housing_median_age <= 32.50
|   |   |   |   |   |   |--- population <= 780.50
|   |   |   |   |   |   |   |--- latitude <= 38.33
|   |   |   |   |   |   |   |   |--- latitude <= 34.81
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.91
|   |   |   |   |   |   |   |   |   |   |--- households <= 110.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [193800.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  110.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [259200.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.91
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 7.37
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  7.37
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- latitude >  34.81
|   |   |   |   |   |   |   |   |   |--- population <= 329.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [290500.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [212500.00]
|   |   |   |   |   |   |   |   |   |--- population >  329.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.14
|   |   |   |   |   |   |   |   |   |   |   |--- value: [223900.00]
|   |   |   |   |   |   |   |--- latitude >  38.33
|   |   |   |   |   |   |   |   |--- total_rooms <= 1013.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.00
|   |   |   |   |   |   |   |   |   |   |--- value: [315200.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.00
|   |   |   |   |   |   |   |   |   |   |--- value: [326700.00]
|   |   |   |   |   |   |   |   |--- total_rooms >  1013.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 14.00
|   |   |   |   |   |   |   |   |   |   |--- value: [241100.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  14.00
|   |   |   |   |   |   |   |   |   |   |--- value: [267200.00]
|   |   |   |   |   |   |--- population >  780.50
|   |   |   |   |   |   |   |--- median_income <= 7.43
|   |   |   |   |   |   |   |   |--- population <= 854.50
|   |   |   |   |   |   |   |   |   |--- total_rooms <= 2149.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.32
|   |   |   |   |   |   |   |   |   |   |   |--- value: [366700.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.32
|   |   |   |   |   |   |   |   |   |   |   |--- value: [394000.00]
|   |   |   |   |   |   |   |   |   |--- total_rooms >  2149.50
|   |   |   |   |   |   |   |   |   |   |--- value: [339200.00]
|   |   |   |   |   |   |   |   |--- population >  854.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 7.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 1829.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- population >  1829.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  7.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -121.66
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -121.66
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |--- median_income >  7.43
|   |   |   |   |   |   |   |   |--- households <= 538.50
|   |   |   |   |   |   |   |   |   |--- population <= 1056.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 382.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [355500.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  382.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [318100.00]
|   |   |   |   |   |   |   |   |   |--- population >  1056.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 3372.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  3372.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [320400.00]
|   |   |   |   |   |   |   |   |--- households >  538.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 21.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 36.43
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  36.43
|   |   |   |   |   |   |   |   |   |   |   |--- value: [334800.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  21.00
|   |   |   |   |   |   |   |   |   |   |--- value: [398200.00]
|   |   |   |   |   |--- housing_median_age >  32.50
|   |   |   |   |   |   |--- longitude <= -118.11
|   |   |   |   |   |   |   |--- latitude <= 38.59
|   |   |   |   |   |   |   |   |--- median_income <= 6.77
|   |   |   |   |   |   |   |   |   |--- latitude <= 34.19
|   |   |   |   |   |   |   |   |   |   |--- value: [352700.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  34.19
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1753.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [304800.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1753.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [295500.00]
|   |   |   |   |   |   |   |   |--- median_income >  6.77
|   |   |   |   |   |   |   |   |   |--- latitude <= 38.10
|   |   |   |   |   |   |   |   |   |   |--- value: [172200.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  38.10
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 44.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [280400.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  44.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [228700.00]
|   |   |   |   |   |   |   |--- latitude >  38.59
|   |   |   |   |   |   |   |   |--- value: [446400.00]
|   |   |   |   |   |   |--- longitude >  -118.11
|   |   |   |   |   |   |   |--- households <= 493.00
|   |   |   |   |   |   |   |   |--- housing_median_age <= 37.50
|   |   |   |   |   |   |   |   |   |--- households <= 447.50
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |   |--- households >  447.50
|   |   |   |   |   |   |   |   |   |   |--- value: [437400.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  37.50
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 43.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 6.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  6.55
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  43.00
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |--- households >  493.00
|   |   |   |   |   |   |   |   |--- value: [216600.00]
|   |   |   |   |--- median_income >  7.81
|   |   |   |   |   |--- households <= 22.50
|   |   |   |   |   |   |--- latitude <= 38.48
|   |   |   |   |   |   |   |--- total_bedrooms <= 13.50
|   |   |   |   |   |   |   |   |--- value: [137500.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  13.50
|   |   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |   |--- latitude >  38.48
|   |   |   |   |   |   |   |--- value: [350000.00]
|   |   |   |   |   |--- households >  22.50
|   |   |   |   |   |   |--- housing_median_age <= 29.50
|   |   |   |   |   |   |   |--- longitude <= -121.56
|   |   |   |   |   |   |   |   |--- housing_median_age <= 12.00
|   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  12.00
|   |   |   |   |   |   |   |   |   |--- median_income <= 8.87
|   |   |   |   |   |   |   |   |   |   |--- value: [329400.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  8.87
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [418800.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.83
|   |   |   |   |   |   |   |   |   |   |   |--- value: [427700.00]
|   |   |   |   |   |   |   |--- longitude >  -121.56
|   |   |   |   |   |   |   |   |--- latitude <= 34.92
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 18.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 2692.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- population >  2692.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  18.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -117.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -117.75
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |--- latitude >  34.92
|   |   |   |   |   |   |   |   |   |--- longitude <= -119.81
|   |   |   |   |   |   |   |   |   |   |--- households <= 279.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- households >  279.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- longitude >  -119.81
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 8.45
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  8.45
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- housing_median_age >  29.50
|   |   |   |   |   |   |   |--- longitude <= -119.76
|   |   |   |   |   |   |   |   |--- median_income <= 9.36
|   |   |   |   |   |   |   |   |   |--- value: [338700.00]
|   |   |   |   |   |   |   |   |--- median_income >  9.36
|   |   |   |   |   |   |   |   |   |--- value: [400000.00]
|   |   |   |   |   |   |   |--- longitude >  -119.76
|   |   |   |   |   |   |   |   |--- housing_median_age <= 49.00
|   |   |   |   |   |   |   |   |   |--- median_income <= 8.03
|   |   |   |   |   |   |   |   |   |   |--- value: [454800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  8.03
|   |   |   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |   |   |--- housing_median_age >  49.00
|   |   |   |   |   |   |   |   |   |--- value: [444100.00]
|   |   |--- median_income >  275.50
|   |   |   |--- median_income <= 4003.50
|   |   |   |   |--- population <= 41.00
|   |   |   |   |   |--- total_rooms <= 1259.50
|   |   |   |   |   |   |--- latitude <= 33.88
|   |   |   |   |   |   |   |--- total_bedrooms <= 5.00
|   |   |   |   |   |   |   |   |--- value: [275000.00]
|   |   |   |   |   |   |   |--- total_bedrooms >  5.00
|   |   |   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |   |   |--- latitude >  33.88
|   |   |   |   |   |   |   |--- longitude <= -121.24
|   |   |   |   |   |   |   |   |--- population <= 20.50
|   |   |   |   |   |   |   |   |   |--- value: [14999.00]
|   |   |   |   |   |   |   |   |--- population >  20.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.57
|   |   |   |   |   |   |   |   |   |   |--- value: [87500.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.57
|   |   |   |   |   |   |   |   |   |   |--- value: [67500.00]
|   |   |   |   |   |   |   |--- longitude >  -121.24
|   |   |   |   |   |   |   |   |--- population <= 37.50
|   |   |   |   |   |   |   |   |   |--- longitude <= -116.90
|   |   |   |   |   |   |   |   |   |   |--- households <= 6.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [137500.00]
|   |   |   |   |   |   |   |   |   |   |--- households >  6.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- longitude >  -116.90
|   |   |   |   |   |   |   |   |   |   |--- value: [42500.00]
|   |   |   |   |   |   |   |   |--- population >  37.50
|   |   |   |   |   |   |   |   |   |--- value: [37500.00]
|   |   |   |   |   |--- total_rooms >  1259.50
|   |   |   |   |   |   |--- value: [500001.00]
|   |   |   |   |--- population >  41.00
|   |   |   |   |   |--- median_income <= 2349.00
|   |   |   |   |   |   |--- housing_median_age <= 9.00
|   |   |   |   |   |   |   |--- latitude <= 35.98
|   |   |   |   |   |   |   |   |--- value: [416700.00]
|   |   |   |   |   |   |   |--- latitude >  35.98
|   |   |   |   |   |   |   |   |--- households <= 27.00
|   |   |   |   |   |   |   |   |   |--- value: [112500.00]
|   |   |   |   |   |   |   |   |--- households >  27.00
|   |   |   |   |   |   |   |   |   |--- value: [179200.00]
|   |   |   |   |   |   |--- housing_median_age >  9.00
|   |   |   |   |   |   |   |--- total_bedrooms <= 1731.50
|   |   |   |   |   |   |   |   |--- households <= 231.00
|   |   |   |   |   |   |   |   |   |--- population <= 1718.50
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 16.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  16.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |--- population >  1718.50
|   |   |   |   |   |   |   |   |   |   |--- value: [212500.00]
|   |   |   |   |   |   |   |   |--- households >  231.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 17.50
|   |   |   |   |   |   |   |   |   |   |--- population <= 1431.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- population >  1431.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  17.50
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 9
|   |   |   |   |   |   |   |--- total_bedrooms >  1731.50
|   |   |   |   |   |   |   |   |--- population <= 3815.00
|   |   |   |   |   |   |   |   |   |--- value: [153500.00]
|   |   |   |   |   |   |   |   |--- population >  3815.00
|   |   |   |   |   |   |   |   |   |--- value: [219400.00]
|   |   |   |   |   |--- median_income >  2349.00
|   |   |   |   |   |   |--- households <= 2544.50
|   |   |   |   |   |   |   |--- longitude <= -120.22
|   |   |   |   |   |   |   |   |--- latitude <= 36.93
|   |   |   |   |   |   |   |   |   |--- latitude <= 36.85
|   |   |   |   |   |   |   |   |   |   |--- value: [207900.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  36.85
|   |   |   |   |   |   |   |   |   |   |--- value: [210000.00]
|   |   |   |   |   |   |   |   |--- latitude >  36.93
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.45
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.98
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.98
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 13
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.45
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 2669.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |   |   |--- median_income >  2669.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 11
|   |   |   |   |   |   |   |--- longitude >  -120.22
|   |   |   |   |   |   |   |   |--- latitude <= 34.77
|   |   |   |   |   |   |   |   |   |--- longitude <= -117.76
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.14
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |--- longitude >  -117.76
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 15.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 6
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  15.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |--- latitude >  34.77
|   |   |   |   |   |   |   |   |   |--- latitude <= 39.13
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 37.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 10
|   |   |   |   |   |   |   |   |   |   |--- latitude >  37.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |   |   |   |   |   |--- latitude >  39.13
|   |   |   |   |   |   |   |   |   |   |--- value: [196900.00]
|   |   |   |   |   |   |--- households >  2544.50
|   |   |   |   |   |   |   |--- value: [227300.00]
|   |   |   |--- median_income >  4003.50
|   |   |   |   |--- median_income <= 5340.50
|   |   |   |   |   |--- longitude <= -122.38
|   |   |   |   |   |   |--- value: [336700.00]
|   |   |   |   |   |--- longitude >  -122.38
|   |   |   |   |   |   |--- latitude <= 34.21
|   |   |   |   |   |   |   |--- longitude <= -117.65
|   |   |   |   |   |   |   |   |--- longitude <= -118.03
|   |   |   |   |   |   |   |   |   |--- median_income <= 4385.00
|   |   |   |   |   |   |   |   |   |   |--- value: [330000.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  4385.00
|   |   |   |   |   |   |   |   |   |   |--- value: [276200.00]
|   |   |   |   |   |   |   |   |--- longitude >  -118.03
|   |   |   |   |   |   |   |   |   |--- households <= 350.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |--- households >  350.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 34.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- latitude >  34.11
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |--- longitude >  -117.65
|   |   |   |   |   |   |   |   |--- housing_median_age <= 17.00
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 7.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 33.28
|   |   |   |   |   |   |   |   |   |   |   |--- value: [96300.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  33.28
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  7.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 10.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [392100.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  10.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |--- housing_median_age >  17.00
|   |   |   |   |   |   |   |   |   |--- latitude <= 33.35
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms <= 287.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [90800.00]
|   |   |   |   |   |   |   |   |   |   |--- total_bedrooms >  287.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [99600.00]
|   |   |   |   |   |   |   |   |   |--- latitude >  33.35
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 4935.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |   |--- median_income >  4935.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |--- latitude >  34.21
|   |   |   |   |   |   |   |--- median_income <= 4759.50
|   |   |   |   |   |   |   |   |--- housing_median_age <= 22.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 4037.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 14.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [180400.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  14.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [293800.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  4037.00
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.62
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 8
|   |   |   |   |   |   |   |   |--- housing_median_age >  22.50
|   |   |   |   |   |   |   |   |   |--- median_income <= 4453.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 2665.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  2665.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- median_income >  4453.00
|   |   |   |   |   |   |   |   |   |   |--- population <= 939.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- population >  939.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [116800.00]
|   |   |   |   |   |   |   |--- median_income >  4759.50
|   |   |   |   |   |   |   |   |--- latitude <= 38.30
|   |   |   |   |   |   |   |   |   |--- median_income <= 5190.00
|   |   |   |   |   |   |   |   |   |   |--- households <= 1053.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 5
|   |   |   |   |   |   |   |   |   |   |--- households >  1053.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |--- median_income >  5190.00
|   |   |   |   |   |   |   |   |   |   |--- total_rooms <= 1747.50
|   |   |   |   |   |   |   |   |   |   |   |--- value: [155100.00]
|   |   |   |   |   |   |   |   |   |   |--- total_rooms >  1747.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- latitude >  38.30
|   |   |   |   |   |   |   |   |   |--- longitude <= -121.98
|   |   |   |   |   |   |   |   |   |   |--- value: [298400.00]
|   |   |   |   |   |   |   |   |   |--- longitude >  -121.98
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.32
|   |   |   |   |   |   |   |   |   |   |   |--- value: [250000.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.32
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 7
|   |   |   |   |--- median_income >  5340.50
|   |   |   |   |   |--- housing_median_age <= 34.50
|   |   |   |   |   |   |--- total_bedrooms <= 1979.00
|   |   |   |   |   |   |   |--- longitude <= -121.02
|   |   |   |   |   |   |   |   |--- latitude <= 37.94
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 19.50
|   |   |   |   |   |   |   |   |   |   |--- value: [286900.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  19.50
|   |   |   |   |   |   |   |   |   |   |--- value: [337200.00]
|   |   |   |   |   |   |   |   |--- latitude >  37.94
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 15.00
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age <= 7.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [267400.00]
|   |   |   |   |   |   |   |   |   |   |--- housing_median_age >  7.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 4
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  15.00
|   |   |   |   |   |   |   |   |   |   |--- latitude <= 38.47
|   |   |   |   |   |   |   |   |   |   |   |--- value: [175700.00]
|   |   |   |   |   |   |   |   |   |   |--- latitude >  38.47
|   |   |   |   |   |   |   |   |   |   |   |--- value: [225000.00]
|   |   |   |   |   |   |   |--- longitude >  -121.02
|   |   |   |   |   |   |   |   |--- latitude <= 34.15
|   |   |   |   |   |   |   |   |   |--- housing_median_age <= 15.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 7362.00
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |   |   |   |   |--- median_income >  7362.00
|   |   |   |   |   |   |   |   |   |   |   |--- value: [223900.00]
|   |   |   |   |   |   |   |   |   |--- housing_median_age >  15.00
|   |   |   |   |   |   |   |   |   |   |--- median_income <= 5779.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |   |   |--- median_income >  5779.50
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 2
|   |   |   |   |   |   |   |   |--- latitude >  34.15
|   |   |   |   |   |   |   |   |   |--- median_income <= 5579.50
|   |   |   |   |   |   |   |   |   |   |--- value: [132200.00]
|   |   |   |   |   |   |   |   |   |--- median_income >  5579.50
|   |   |   |   |   |   |   |   |   |   |--- longitude <= -120.33
|   |   |   |   |   |   |   |   |   |   |   |--- value: [186600.00]
|   |   |   |   |   |   |   |   |   |   |--- longitude >  -120.33
|   |   |   |   |   |   |   |   |   |   |   |--- truncated branch of depth 3
|   |   |   |   |   |   |--- total_bedrooms >  1979.00
|   |   |   |   |   |   |   |--- value: [343100.00]
|   |   |   |   |   |--- housing_median_age >  34.50
|   |   |   |   |   |   |--- population <= 686.50
|   |   |   |   |   |   |   |--- households <= 169.50
|   |   |   |   |   |   |   |   |--- value: [405800.00]
|   |   |   |   |   |   |   |--- households >  169.50
|   |   |   |   |   |   |   |   |--- value: [483300.00]
|   |   |   |   |   |   |--- population >  686.50
|   |   |   |   |   |   |   |--- median_income <= 6360.50
|   |   |   |   |   |   |   |   |--- total_bedrooms <= 311.00
|   |   |   |   |   |   |   |   |   |--- value: [318500.00]
|   |   |   |   |   |   |   |   |--- total_bedrooms >  311.00
|   |   |   |   |   |   |   |   |   |--- value: [300900.00]
|   |   |   |   |   |   |   |--- median_income >  6360.50
|   |   |   |   |   |   |   |   |--- value: [359400.00]

 

Code
print('Training set score is', regtree.score(X_train,y_train), '\nTest set score is', regtree.score(X_test,y_test))
Training set score is 1.0 
Test set score is 0.6356861015332378

Tree pruning

 

  • Large trees may overfit the data, leading to poor test set performance (if tree is too complex it fits noise and fails to generalize).

  • Tree pruning deals with overfitting by cutting back the tree to remove nodes that provide little power in predicting target variables (obtain a subtree that minimizes test error as estimated by using resampling methods).

  • Two common approaches

    • Pre-pruning techniques that limit complexity in advance. Examples include max depth, the minimum number of samples to split a node, or the minimum number of samples required to be at a leaf (or terminal node).
    • Post-pruning: grow an unconstrained tree and cut complexity afterwards

Cost complexity pruning

 

A usual post-pruning approach is cost complexity pruning (or weakest link pruning):

  • Consider a very large tree \(T_0\)
  • Subtrees from \(T_0\) are selected by applying a nonnegative tuning parameter introduced in the loss function \[\sum_{m=1}^{|T|} \sum_{i:x_i\in R_m}(y_i-\hat{y}_{R_m})^2+\alpha |T|\]
  • The tuning parameter \(\alpha\) penalizes for the number of terminal nodes of the tree \(|T|\). If \(\alpha=0\) subtree is \(T_0\); for increasing values of \(\alpha\) the loss function is minimized for smaller subtrees
  • The best subtree is chosen using cross-validation or a validation set approach.

 

Building a regression tree using post-pruning

  1. Use recursive binary splitting to grow a large tree on the training data, stopping only when each terminal node has fewer than some minimum number of observations.

  2. Apply cost complexity pruning to the large tree in order to obtain a sequence of best subtrees, as a function of \(\alpha\).

  3. Use K-fold cross-validation to choose \(\alpha\). That is, divide the training observations into K folds. For each k = 1, . . . , K:

    1. Repeat Steps 1 and 2 on all but the kth fold of the training data.
    2. Evaluate the mean squared prediction error on the data in the left-out kth fold, as a function of \(\alpha\).
    3. Average the results for each value of \(\alpha\), and pick \(\alpha\) to minimize the average error.
  4. Return the subtree from Step 2 that corresponds to the chosen value of \(\alpha\).

Trees vs. linear models

 

Linear Regression assumes a linear relationship that holds over the entire feature-space, i.e., it produces a global model for the response: \[f(X) = \beta_0 + \sum_{j=1}^p X_j \beta_j\]

Regression Trees assume a partitioned feature space that captures local relationships between predictors and the outcome: \[f(X) = \sum_{m=1}^M c_m \cdot 1(X \in R_m)\]

  • Model Selection
    • Problem dependent: linear models work well for linear relationships, while trees handle non-linear and complex relationships better.
    • Interpretability: model explainability and visualization can affect the choice.
    • Predictive accuracy: assess performance using test error (cross-validation or a validation set approach).

Classification trees

Classification trees: example

Code
from sklearn.tree import DecisionTreeClassifier
url = "https://juandmontoro.github.io/bigDataEco/data/retention_futility.csv"
data = pd.read_csv(url)
X = data.drop(columns=['id','churn'])
y = data['churn']
X_train,X_test,y_train,y_test = train_test_split(X,y,test_size=0.2,random_state=42)
cltree = DecisionTreeClassifier(max_depth=2)
cltree.fit(X_train,y_train);
plot_tree(cltree,feature_names=X_train.columns,filled=True,fontsize=9);

Code
tree_rules = export_text(cltree,feature_names=X.columns.tolist())
print(tree_rules)
|--- v5 <= 0.04
|   |--- v19 <= 0.50
|   |   |--- class: 1
|   |--- v19 >  0.50
|   |   |--- class: 0
|--- v5 >  0.04
|   |--- v9 <= -0.03
|   |   |--- class: 0
|   |--- v9 >  -0.03
|   |   |--- class: 1

Classification trees

 

  • Used for predicting qualitative responses.

  • Splits the features space into regions and predictions are based on most frequent class in each terminal node (but also class proportions for each terminal node)

  • Use recursive binary splitting to grow the tree and assess the split using node impurity after the split.

  • Splitting criteria:

    • Classification Error Rate: fraction of training observations not in the most common class. \(E=1-max_k(\hat{p}_{mk})\)
    • Gini Index: measure of node purity, small value indicates a node contains predominantly one class. \(G=\sum_{k=1}^K \hat{p}_{mk}(1-\hat{p}_{mk})\)
    • Entropy: similar to Gini index (measures node purity). \(D=-\sum_{k=1}^K\hat{p}_{mk}\log(\hat{p}_{mk})\)

 

At any node a weighted criterion is computed, e.g. \(G_{split}=\frac{N_{left}}{N}G_{left}+\frac{N_{right}}{N}G_{right}\)

Advantages/disadvantages of trees

 

(+) Simplicity: trees are easy to understand (easier than linear regression) and can be easily interpreted even by a non-expert (especially if they are small).

(+) Decision trees more closely mirror human decision-making than do other regression and classification approaches.

(+) Trees can be displayed graphically.

(-) But trees can be very non-robust: a small change in the data can cause a large change in the final estimated tree.

Ensembles

Ensembles

 

  • An ensemble method is an approach that combines many “building block” models in order to obtain a single and improved predictive model.

  • In some instances (such as bagging), the building blocks are high-variance models (e.g., deep decision trees) that are combined to reduce variance and improve stability.

  • In other cases (such as boosting), the building blocks are weak learners (high-bias, low-complexity models) that, when combined, can significantly reduce bias.

  • Next we discuss ensemble methods for which the building blocks are a regression or a classification tree.

Bagging

Bootstrapping

 

  • Bootstrapping allows us to use a computer to emulate the process of obtaining new sample sets without generating additional samples.

  • Rather than repeatedly obtaining independent data sets from the population, we instead obtain distinct data sets by repeatedly sampling observations from the original data set

  • Sampling is performed with replacement, which means that the with same observation can occur more than once in the bootstrap data set.

Bootstrapping: example

 

import numpy as np

np.random.seed(42)

# Original sample of 5 observations
sample = np.array([4, 7, 10, 15, 20])

# Number of bootstrap resamples
B = 10  # Number of bootstrap samples

for i in range(B):
    resample = np.random.choice(sample, size=len(sample), replace=True)
    print(f"\tSample {i}: {resample}")
    Sample 0: [15 20 10 20 20]
    Sample 1: [ 7 10 10 10 20]
    Sample 2: [15 10 20  7 15]
    Sample 3: [ 7 15 20  4 15]
    Sample 4: [ 7 20 15  4  4]
    Sample 5: [10 10  7 15 15]
    Sample 6: [10 15 15  4 10]
    Sample 7: [20 10 20  4  7]
    Sample 8: [15  4 15  7  7]
    Sample 9: [ 4  7 20  7 15]

How many samples exclude 7? And 20?

Variance in decision trees

 

Decision trees suffer from high variance, meaning results can differ significantly when trained on different subsets of data. Bagging (Bootstrap Aggregation) is a general technique to reduce variance in statistical learning methods (trees in our case).

 

Bagging: procedure

  • Take \(B\) separate and independent (bootstrapped) training sets and produce predictions using decision trees \(\hat{f_1}(x), \hat{f_2}(x)\ldots \hat{f_B}(x)\)

  • Next, these are aggregated to produce a single, low variance statistical learning model. E.g. in a regression problem, predictions of the \(B\) trees are averaged: \[\hat{f}_{bag}(x)=\frac{1}{B}\sum_{b=1}^B \hat{f}^{*b}(x)\]

Note the variance of the average of \(n\) iid random variables is scaled by \(1/n\).

Bagging

 

  • Bagging works by training multiple models on different bootstrapped samples of the training data and aggregating their predictions.
  • For regression, predictions are averaged; for classification, majority voting is used.
  • Bagging is particularly effective for decision trees, where deep, unpruned trees are averaged to reduce variance without increasing bias.
  • However different base estimators can be selected. In sklearn the estimator argument in BaggingRegressor or BaggingClassifier allows you to use alternative learners in the ensemble.
  • A large number of trees (100 or more) generally yields stable and improved accuracy without overfitting (but note that more trees increase the computational cost).

Out-of-Bag (OOB) error estimation

 

  • OOB error estimation provides a way to estimate test error without cross-validation.
  • Each bagged tree is trained on about two-thirds of the data, leaving one-third as OOB observations.
  • To estimate the error rate for observation \(i\) use the predictions of the \(B/3\) trees in which \(i\) is OOB.
  • Predictions for OOB observations are aggregated to compute an error estimate, which approximates leave-one-out cross-validation.

Variable importance and Bagging

 

  • Bagging improves prediction accuracy but reduces interpretability, as individual decision trees can no longer be visualized.
  • Variable importance can be assessed using:
    • Regression trees: Reduction in Residual Sum of Squares (RSS) across trees due to splits over predictor \(j\).
    • Classification trees: Reduction in Gini index across trees.
  • These metrics help identify influential predictors in bagging models.

Random forests

Random forests: procedure

 

Random forests modify bagging by introducing randomness to decorrelate trees.

 

  • Decision trees are built on bootstrapped training samples, but at each split, only a random subset of \(m\) predictors is considered.
  • Typically, \(m \approx \sqrt{p}\) (e.g., for 13 predictors, about 4 are considered at each split).
  • Why? To limit the impact of strong predictors on the resulting trees.
  • Random forests force each split to consider only a subset of predictors, allowing weaker predictors to contribute and reducing correlation.

This results in lower variance and more reliable predictions

Difference between Bagging and Random Forests

 

  • The key difference is the number of predictors considered at each split (\(m\)): if \(m = p\), random forests and bagging are equivalent.
  • Reducing \(m\) is particularly useful in datasets with many correlated predictors.
  • Random forests decorrelate the base trees, thereby making the average (i.e. the ensemble) less variable

Boosting

Boosting: procedure

 

Boosting is a general approach that helps improve predictions from decision trees, applicable to both regression and classification. Unlike bagging, which builds trees independently on bootstrapped datasets, boosting builds trees sequentially, using information from previous trees. Each tree is trained on a modified version of the dataset, specifically targeting the residuals of the previous model.

How Boosting works:

  • Slow learning by fitting multiple trees: \(\hat{f}^1, \hat{f}^2, \ldots \hat{f}^B\)
  • Each tree is trained on the residuals (errors) of the previous model, gradually improving performance. That is, each new tree attempts to capture the remaining signal that has not yet been accounted for by the current ensemble.
  • Small trees (with few terminal nodes) are typically used, ensuring that predictions are refined incrementally by addressing areas where previous trees underperform.
  • A shrinkage parameter \(\lambda\) additionally slows down learning, providing more flexibility in capturing patterns and preventing overfitting.

Boosting

 

Boosting for Regression Trees

1- Set \(\hat{f}(x) = 0\) and \(r_i = y_i\) for all \(i\) in the training set.

2- For \(b = 1, 2,\ldots, B\), repeat:

  • Fit a tree \(\hat{f}^b\) with \(d\) splits to the training data \((X, r)\).
  • Update \(\hat{f}\) by adding in a shrunken version of the new tree \[\hat{f}(x) \leftarrow \hat{f}(x) + \lambda \hat{f}^b(x)\]
  • Update the residuals \[r_i \leftarrow r_i-\lambda \hat{f}^b(x)\]

3- Output the boosted model \[\hat{f}(x) =\sum_{b=1}^B \lambda \hat{f}^b(x)\]

Boosting vs. Bagging

 

Sequential Learning

In boosting each tree depends on the previous ones. In bagging trees are independent.

 

No Bootstrap Sampling

Boosting modifies the original dataset. Bagging is applied on resamples of the original dataset.

 

Potential Overfitting

Unlike bagging, boosting can overfit if too many trees (\(B\)) are used. However, overfitting happens gradually and can be mitigated by reducing the learning rate (\(\lambda\)), which controls the contribution of each tree.

Tuning parameters in Boosting

 

  1. Number of trees: \(B\)
    • Boosting can overfit if \(B\) is too large.
    • Cross-validation is used to determine the optimal \(B\).
  2. Shrinkage parameter: \(\lambda\)
    • Controls learning rate (common values: 0.01 or 0.001).
    • Smaller \(\lambda\) requires larger \(B\) for good performance.
  3. Number of splits per tree \(d\)
    • Controls tree complexity.
    • \(d = 1\) (stumps) often works well, leading to an additive model.
    • Larger \(d\) allows interactions between multiple variables.

Bayesian additive regression trees

BART: Bayesian additive regression trees

 

BART is an ensemble learning method using decision trees that combines ideas from

  1. bagging/random forests: trees are randomly constructed
  2. boosting: each tree each tree tries to capture signal not yet accounted for by the current model

Some notation

  • \(K\) denote the number of regression trees
  • \(B\) be the number of iterations for which the BART algorithm will be run
  • \(\hat{f}^b_k(x)\): prediction at \(x\) for the \(kth\) regression tree used in the \(b\)th iteration
  • At the end of each iteration the K trees from that iteration will be summed: \[\hat{f}^b(x)=\sum_{k=1}^{K}\hat{f}_k^b(x)\]

How BART works

 

  • Initialization: all trees start with a single root node, predicting the mean of the response variable divided by the number of trees. So the \(k-th\) tree contribution to the prediction of the response (in the first iteration) is \[\hat{f}^1_k(x) = \frac{1}{nK}\sum_{i=1}^{n}y_i\]
  • Iterations: BART updates each tree sequentially. To do so partial residuals (observed response minus contributions from all other trees) are computed. When updating the \(k\)th tree the modified response is \[r_i=y_i-\sum_{k'<k}\hat{f}^b_{k'}-\sum_{k'>k}\hat{f}^{b-1}_{k'}\]
  • Tree updates: instead of just fitting a new tree to the partial residual, BART randomly modifies the previous tree by:
    1. Changing its structure (adding/pruning branches).
    2. Adjusting terminal node predictions.

The output of BART is a collection of prediction models

\[\hat{f}^b(x)=\sum_{k=1}^K\hat{f}_k^b\]

 

Bayesian Additive Regression Trees

  1. Let \(\hat{f}_1^1(x)=\hat{f}_1^1(x)=\ldots=\hat{f}_K^1(x)=\frac{1}{nK}\sum_iy_i\)

  2. Compute \(\hat{f}^1(x)=\frac{1}{n}\sum_{k=1}^K \hat{f}_K^1(x)=\frac{1}{n}\sum_iy_i\)

  3. For \(b=2, \ldots B\)

  • For \(k=1,2,\ldots K\),

    • For \(i=1\ldots n\) compute the current partial residual \[r_i=y_i-\sum_{k'<k}\hat{f}^b_{k'}-\sum_{k'>k}\hat{f}^{b-1}_{k'}\]
    • Fit a new tree \(\hat{f}_k^b(x)\) to \(r_i\) by randomly perturbing the \(k\)th tree from the previous iteration \(\hat{f}_k^{b-1}(x)\). Perturbations that improve the fit are favoured
  • Compute \[\hat{f}^b(x)=\sum_{k=1}^{K} \hat{f}^b_k(x)\]

  1. Compute the mean after \(L\) burn-in samples

\[\hat{f}^b(x)=\frac{1}{B-L}\sum_{b=L+1}^{B} \hat{f}^b(x)\]

BART: additional details

 

  • The early iterations (burn-in period) are discarded because they tend to be unstable.
  • After burn-in, predictions are averaged across iterations, and uncertainty can be estimated using percentiles of the predictions.
  • BART prevents overfitting by not fitting a fresh tree to the current residual BUT slightly modifying the tree obtained in the previous iteration (it limits how hard we try to fit the data) and by limiting tree size (which tend to be small).
  • BART can be seen as a Bayesian approach where each time we randomly perturb a tree we are in fact drawing a new tree from a posterior distribution.

Key parameters in BART

 

  • K (number of trees): large (e.g., 200).
  • B (number of iterations): large (e.g., 1,000).
  • L (burn-in iterations): moderate (e.g., 100).

Summary of ensemble methods

 

Method Tree Independence Feature Selection Learning Approach
Bagging Trees grown independently on random samples No feature selection Tree grown on a bootstrapped sample
Random Forests Trees grown independently on random samples Random subset of features used at each split Tree grown on a bootstrapped sample
Boosting Trees grown sequentially No feature selection Each tree fits residuals of the previous trees with a slow learning rate
BART Trees grown sequentially No feature selection Each tree is perturbed from the previous iteration rather than refit

Implementation in sklearn

 

from sklearn.ensemble import BaggingRegressor, RandomForestRegressor, GradientBoostingRegressor
from sklearn.ensemble import BaggingClassifier, RandomForestClassifier, GradientBoostingClassifier

# Examples for regression tasks (with default arguments)
bagging = BaggingRegressor(estimator= None, n_estimators=10, oob_score=False)
rf = RandomForestRegressor(n_estimators=100, oob_score=False, max_depth=None)
boosting = GradientBoostingRegressor(n_estimators=100,learning_rate=0.1,max_depth=3)

# The base estimator for bagging can be changed through the estimator argument
# For bagging and rf set oob_score to True if OOB scores are to be retrieved